Precalculus. Determine if Odd, Even, or Neither f (x)=x. Step 1. Find . Tap for more steps... Find by substituting for all occurrence of in . Remove parentheses. Step 2.Plot points at (0, 3), (0, 1), and (0, 5). What is true about all points with an x-coordinate of 0? A group consisting of 21 aggressive zombies quadruples in size every hour.Simplify the expression to solve for the portion of the . Tap for more steps... Step 2.6.1. Simplify the numerator. Tap for more steps... Step 2.6.1.1. Raise to the power of . ... Step 4.4.1. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression ...All real numbers x, except x = 0. Identify the vertical asymptote of the function. f (x)= x^2 + 1/ 3 (x-8) 8. What are the vertical asymptotes of f (x)= 10/x^2 - 1. 1, -1. Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.Click here 👆 to get an answer to your question ️ Simplify mc002-1. Jpg –100,000 mc002-2. ... Identify the reference angle es001-1. Jpg for each given angle ...A system with one solution has one meeting point for all the graphs. A system with infinite solutions is the same graph on top of itself. A system with no solution has graphs that don't all meet at one point (at least two are parallel).The steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed Hence, the correct option is A. What is simplification of an expression? Usually, simplification involves proceeding with the pending operations in the expression. Simplification usually involves making the expression simple and easy to …Simplify. Explain. heart outlined ... Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees. heart. 40. verified. Verified answer. Accenture has signed a multi year agreement to help a mobile telecom provider.Jan 5, 2022 · Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function. In the context of complex numbers, the imaginary unit ' i ' has a cyclic pattern of powers. Specifically, i^1 is i, i^2 is -1, i^3 is -i, and i^4 is 1. After this, the cycle repeats. …This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Suppose a transformation of the parent function mc^ (001)-1.jpg is given as mc^ (001)-2.jpg. Determine the effect the transformation has on the minimum of the function on the interval mc^ (001)-3.jpg. The formula es001-1.jpg gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet. To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 fores001-2.jpg . To simplify this expression, first recognize that dividing by a fraction is the same as multiplying by its reciprocal. Thus, the quotient can be rewritten as (t2-36)/3 × (9t)/ (t2+6t). Simplify the expression by factoring where possible: t2 - 36 can be factored into (t + 6) (t - 6) because it is a difference of squares.This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Suppose a transformation of the parent function mc^ (001)-1.jpg is given as mc^ (001)-2.jpg. Determine the effect the transformation has on the minimum of the function on the interval mc^ (001)-3.jpg.Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i . 2 -1. 3 -i. i^22 . Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1Select all of the expressions that are equal to the product of 10x^9 and (60x^-6)^-1. Assume x ≠ 0. A: 10x^9/60x^-6. C: x^15/6. Javier simplified the expression below. Find and describe the three mistakes he made. 1) Javier did not raise the coefficients to the third power. 2) when Javier raised x to the third power, he wrote that (x^1)^3=x^4 ...Click here 👆 to get an answer to your question ️ [SOLVED] Find the simplified product where mc001-1. jpg: mc001-2. jpg mc001-3. jpg mc001-4. jpg mc0…1. Equations & Inequalities. Complex Numbers. Next problem. College Algebra 1. Equations & Inequalities Complex Numbers. 3:02 minutes. Problem 100. Textbook Question. Textbook Question. Simplify each power of i. 1/i^-12. Verified Solution. 3m. Play a video: This video solution was recommended by our tutors as helpful for the problem above. 65 ...Jan 11, 2019 · When deriving the Law of Cosines, the equation h^2=a^2-x^2 is created using the Pythagorean theorem. Use substitution to replace h2 in the equation below and then simplify. c^2=h^2+b^2-2bx+x^2 In today’s digital age, the need to convert multiple JPG files into a single PDF document is becoming increasingly common. One of the easiest and most convenient ways to convert mu...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepStudy with Quizlet and memorize flashcards containing terms like Reactant A can participate in both of these reactions: 1) A + B es002-1.jpg C + D es002-2.jpgGrxn = -15.6 kJ 2) A + E es002-3.jpg F + G es002-4.jpgGrxn = -20.5 kJ Reaction 1 has a much higher rate than Reaction 2 under the same reaction conditions. Explain this observation in …Study with Quizlet and memorize flashcards containing terms like A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O What is the mole ratio of PbO2 to water? PbOes001-2.jpg:Hes001-3.jpgO = 1: How many moles of water are produced if 5.43 mol PbO2 are consumed?, The fuel used to power the booster rockets on space shuttles ... Algebra 2 Module 1 Review. How can the order of operations be used to simplify expressions? Click the card to flip 👆. By providing a set of rules on how to follow a foolproof order of operations when evaluating expressions, ensuring that everyone gets to the same answer once the expression is simplified. Click the card to flip 👆. Final answer: The enthalpy change (ΔHrxn) for the reaction NH3(g) + HCl(g) → NH4Cl(s) is calculated by subtracting the sum of the standard enthalpies of formation of the reactants from the standard enthalpy of formation of the product, which results in ΔHrxn = -175.91 kJ/mol.For a computer to open any file, it needs to have a program associating it with that type of file, so if a computer does not open a JPG file, the computer needs an associated progr...Jan 5, 2022 · Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function. Video transcript. - So we have the graphs of two functions here. We have the graph y equals f of x and we have the graph y is equal to g of x. And what I wanna do in this … Question: Simplify each of the following powers of i. es^(001)-1.jpg. Simplify each of the following powers of i. es^(001)-1.jpg. This question hasn't been solved yet! More powers of i. Let's keep this going! Let's find the next 4 powers of i using a similar method. i 5 = i 4 ⋅ i Properties of exponents = 1 ⋅ i Since i 4 = 1 = i i 6 = i 4 ⋅ i 2 Properties of exponents = 1 ⋅ ( − 1) Since i 4 = 1 and i 2 = − 1 = − 1 i 7 = i 4 ⋅ i 3 Properties of exponents = 1 ⋅ ( − i) Since i 4 = 1 and i 3 ...Simplify radical expressions using algebraic rules step-by-step. radicals-calculator. en. Related Symbolab blog posts. Middle School Math Solutions – Simultaneous Equations Calculator. Solving simultaneous equations is one small algebra step further on from simple equations. Symbolab math solutions... Enter a problem. Cooking Calculators.Simplify \(1 + 8 • 9\). If you missed this problem, review Example 2.1.8. Evaluate Algebraic Expressions. In the last section, we simplified expressions using the order of operations. In this section, we’ll evaluate expressions—again following the order of operations. To evaluate an algebraic expression means to find the value of the expression when the …To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the …Plot points at (0, 3), (0, 1), and (0, 5). What is true about all points with an x-coordinate of 0? A group consisting of 21 aggressive zombies quadruples in size every hour.Right triangle mc001-1.jpg has mc001-2.jpg, a = 6, and b = mc001-3.jpg. Use this information to find mc001-4.jpg. This question hasn't been solved yet! Not what you’re looking for? Submit your question to a subject-matter expert. Send to expert Send to expert Send to expert done loading.Simplify the expression using logarithmic and exponential properties. The property e ln x = x e^{\ln x} = x e l n x = x can be used to simplify the numerator. Also, since ln e = 1 \ln e = 1 ln e = 1 (because e is the base of the natural logarithm), this can be used to simplify the denominatorStudy with Quizlet and memorize flashcards containing terms like A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O What is the mole ratio of PbO2 to water? How many moles of water are produced if 5.43 mol PbO2 are consumed?, The fuel used to power the booster rockets …Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees. heart. 40. verified. Verified answer. Accenture has signed a multi year agreement to help a mobile telecom provider. star. 4/5. heart. 4. verified. Verified answer. Which …Rounding Calculator. Click "Settings" to set the rounding method or define your own precision level. Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2. ...Example 2.3.2. Evaluate 9x − 2, when. x = 5. x = 1. Solution. Remember ab means a times b, so 9x means 9 times x. To evaluate the expression when x = 5, we substitute 5 for x, and then simplify. 9x − 2. Substitute 5 for x.Water is sometimes removed from the products of a reaction by placing the products in a closed container with excess P4O10. Water is absorbed by the following reaction. P4O10 + 6H2O es001-1.jpg 4H3PO4 What is the mole ratio of water to H3PO4? Do not simplify the ratio. Hes001-2.jpgO:Hes001-3.jpgPOes001-4.jpg = :4 Explain the steps involved in adding two rational expressions. First, find a common denominator. Find all the factors. Multiply the numerators and the denominators of both fractions. Then, simplify. Combine the numerators last. on Edge Learn with flashcards, games, and more — for free. Engineering. Computer Science. Computer Science questions and answers. Simplify each of the following powers of i. es^ (001)-1.jpg.Blink’s co-founders have been working in security and automation for a number of years, and they observed that there was a strong overlap between developer operations (DevOps) and ...Blink’s co-founders have been working in security and automation for a number of years, and they observed that there was a strong overlap between developer operations (DevOps) and ...Step 1: Calculate the moles of sodium carbonate (Na2CO3) Number of moles = mass / molar mass Number of moles = 7.5 g / 105.99 g/mol (molar mass of Na2CO3) Number of moles = 0.0707 mol. Step 2: Determine the stoichiometry of the reaction From the balanced equation: 1 mol Na2CO3 reacts with 2 mol HCl to form 2 mol … X 2a-12 * X 2a+13 = X 4a+1. Now that the left side is simplified we can rewrite the equation. X 4a+1 = X 9a-7. Now that we have both sides simplified, we can see that we just need to make the exponents equal to each other. 4a+1 = 9a-7. Next, we need to algebraically solve for a. First add 7 to both sides. 4a+8 = 9a. Next, subtract 4a from both ... Right triangle mc001-1.jpg has mc001-2.jpg, a = 6, and b = mc001-3.jpg. Use this information to find mc001-4.jpg. This question hasn't been solved yet!Solve for y. Tap for more steps... y = 9 + √81 + x. y = 9 - √81 + x. Replace y with f - 1(x) to show the final answer. f - 1(x) = 9 + √81 + x, 9 - √81 + x. Verify if f - 1(x) = 9 + √81 + x, 9 - √81 + x is the inverse of f(x) = x2 - 18x. Tap for more steps... f - 1(x) = 9 + √81 + x, 9 - √81 + x.In today’s digital age, the need for efficient file conversion tools has become increasingly important. One such conversion that is often required is converting JPG files to Word d...Polynomials functions may or may not be even or odd. As soon as you shift a graph left/right or up/down, you may lose any y-axis or origin symmetry that may have existed. For example: y=x^2 has y-axis symmetry and is an even function. y= (x+1)^2 no longer has y-axis symmetry and is no longer an even function.Have you ever wondered how professional photographers manage to have such stunning images in the popular JPG format? It’s all about the process of converting photos from RAW to JPG...Simplify the right side. Tap for more steps... Step 3.3.1. Divide by . Step 4. Add to both sides of the equation. Step 5. Divide each term in by and simplify. Tap for ...Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees.so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i. 2 -1. 3 -i. i^22. Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1.Furthermore, expressions are a mathematical relationship that doesn't have an equality symbol. Examples of Expressions. 3x². 4x + y. 5x/y. x-3y². The word equivalent implies equal, so the expressions are equivalent, which means that they are equal. Given the expressions 2 (x - 5) + 1 and 2x - 9 These two expressions are equivalent or equal.Example 1.7.1: Simplifying Rational Expressions. Simplify x2 − 9 x2 + 4x + 3. Solution. (x + 3)(x − 3) (x + 3)(x + 1) Factor the numerator and the denominator x − 3 x + 1 Cancel common factor (x + 3) Analysis. We can cancel the common factor because any expression divided by itself is equal to 1.Simplify each power of i. i^1001Tasty Edits simplifies video creation for online influencers by providing specialized tools to make content stand out for their audience. * Required Field Your Name: * Your E-Mail:...Option A correctly matches the graph with the equation of a line passing through the point (2,2) since it simplifies to y = -x + 2, which has a slope of -1 and an intercept that makes the line pass through (2,2).so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i. 2 -1. 3 -i. i^22. Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1.Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.Answer: years after the population will be doubled. Explanation: According to the question, There is a town which population is increasing per year. And, it will be doubled in years.A rational expression is an expression of the form p ( x) q ( x), where p and q are polynomials and q ≠ 0. Remember, division by 0 is undefined. Here are some examples of rational expressions: − 13 42 7y 8z 5x + 2 x2 − 7 4x2 + 3x − 1 2x − 8. Notice that the first rational expression listed above, − 13 42, is just a fraction.Sometimes the need arises to change a photo or image file saved in the .jpg format to the PDF digital document format. With the right software, this conversion can be made quickly ...Exercises. 1. Evaluate by performing the addition first: 2. Evaluate by performing the subtraction first: When we evaluate an expression, we want to have a single correct answer. It isn’t very helpful for the answer to be “maybe 7, or maybe 13”. Mathematicians have decided on an order of operations, which tells us which steps should be ...Cancelling 3n - 2 from Numerator & Denominator. = 4 (3n + 2) = 12n + 8. (8/ (6n - 4) ) * (9n² - 4²) = 12n +8. Learn more: find the product of the following 5pq,-7q - …Step 1 - Write the parent function. Step 2 - Draw the graph of the parent function . Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of . Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of . Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free. Jan 17, 2022 · Simplify. Explain. heart outlined ... Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the …Click here 👆 to get an answer to your question ️ [SOLVED] Find the simplified product where mc001-1. jpg: mc001-2. jpg mc001-3. jpg mc001-4. jpg mc0…Final answer: The enthalpy change (ΔHrxn) for the reaction NH3(g) + HCl(g) → NH4Cl(s) is calculated by subtracting the sum of the standard enthalpies of formation of the reactants from the standard enthalpy of formation of the product, which results in ΔHrxn = -175.91 kJ/mol.Calculus. Calculus questions and answers. A town predicts that its population will double in (e^ (ln10))/ (2lne) years. Simplify the expression. In how many years will the population of the town double?Simplify radical expressions using algebraic rules step-by-step. radicals-calculator. en. Related Symbolab blog posts. Middle School Math Solutions – Simultaneous Equations Calculator. Solving simultaneous equations is one small algebra step further on from simple equations. Symbolab math solutions... Enter a problem. Cooking Calculators.Nov 17, 2020 · The Steps to simplifying the 4 + x² - 2 [1 -2x³ + 2x² + 13x - 3 /( x - 3)] are: Step 1: Find the quotient. Step 2: Subtract the result from 1. Step 3: Multiply the result by –2. Step 4: Add the result to 4 + x². What is Algebra? A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. If 1 minus x squared is greater than or equal to 3, then x squared must be less than -2. Since x squared cannot be less than a negative number, the function is undefined for all values of x. Study with Quizlet and memorize flashcards containing terms like Given f (x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of ...y to the 12th power should have been written as the cube of y to the 4th power, so that the index and the exponent are the same. The cube root of y to the 12th power is y to the 4th power.Solution - Simplification or other simple results. e s 27 − j p g. es^27-jpg. Other Ways to Solve. Simplification or other simple results. Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "s0" was replaced by "s^0".Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j". …Explain the steps involved in adding two rational expressions. First, find a common denominator. Find all the factors. Multiply the numerators and the denominators of both fractions. Then, simplify. Combine the numerators last. on Edge Learn with flashcards, games, and more — for free.Oct 19, 2021 · To simplify the given expressions, recall that (i) is the imaginary unit, defined as. (a) Therefore, (b) Therefore, In both cases, the expressions simplify to either t or -1 based on the properties of the imaginary unit (i) . The powers of t are reduced by exploiting the fact that , allowing for simplification and concise expression of the results. May 7, 2018 · Water is sometimes removed from the products of a reaction by placing the products in a closed container with excess P4O10. Water is absorbed by the following reaction. P4O10 + 6H2O es001-1.jpg 4H3PO4 What is the mole ratio of water to H3PO4? Do not simplify the ratio. Hes001-2.jpgO:Hes001-3.jpgPOes001-4.jpg = :4 Through a worked example involving f (x)=√ (x²-1) and g (x)=x/ (1+x), learn about function composition: the process of combining two functions to create a new function. This involves replacing the input of one function with the output of another function. Also note that the composition of two functions is typically not the same as their ...The value of heat of the reaction for the given chemical reaction is equal to -175.91 kJ.. How do we calculate the change in enthalpy of the reaction? Change in enthalpy of the reaction is calculated by substracting the total sum of enthalpies of reacatnts from the the total sum of the enthalpies of products.. Given chemical reaction is:. NH₃(g) + HCl(g) …Click here 👆 to get an answer to your question ️ How many moles of glycerin (C3H5(OH)3) are consumed in this reaction? 14KMnO4 + 4C3H5(OH)3 es001-1.jpg 7K2C… Algebra 2 Module 1 Review. How can the order of operations be used to simplify expressions? Click the card to flip 👆. By providing a set of rules on how to follow a foolproof order of operations when evaluating expressions, ensuring that everyone gets to the same answer once the expression is simplified. Click the card to flip 👆. Simplify radical expressions using algebraic rules step-by-step. radicals-calculator. en. Related Symbolab blog posts. Middle School Math Solutions – Simultaneous Equations Calculator. Solving simultaneous equations is one small algebra step further on from simple equations. Symbolab math solutions... Enter a problem. Cooking Calculators.
Simplify the expression to solve for the portion of the . Tap for more steps... Step 2.6.1. Simplify the numerator. Tap for more steps... Step 2.6.1.1. Raise to the power of . ... Step 4.4.1. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression .... Xvoddos
Does this mean that it is not possible to write es002-1.jpg as a single radical? ... Simplify the quotient of the exponential expressions by getting a common ...1. Equations & Inequalities. Complex Numbers. Next problem. College Algebra 1. Equations & Inequalities Complex Numbers. 3:02 minutes. Problem 100. Textbook Question. Textbook Question. Simplify each power of i. 1/i^-12. Verified Solution. 3m. Play a video: This video solution was recommended by our tutors as helpful for the problem above. 65 ...1-i. Click the card to flip 👆. Find the sum of i¹² and i⁵⁵. Click the card to flip 👆. 1 / 14.Does this mean that it is not possible to write es002-1.jpg as a single radical? ... Simplify the quotient of the exponential expressions by getting a common ...Simplify the expression using logarithmic and exponential properties. The property e ln x = x e^{\ln x} = x e l n x = x can be used to simplify the numerator. Also, since ln e = 1 \ln e = 1 ln e = 1 (because e is the base of the natural logarithm), this …1) Rewrite the equation by factoring -8 from the radicand and taking the cube root to get -2 in front of the radical symbol. 2) The graph is reflected over the x-axis. 3) The graph is also reflected over the y-axis. 4) The graph is vertically stretched by a factor of 2. 5) The graph is translated ½ unit to the left.Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "g4" was replaced by "g^4". 1 more similar replacement (s). (2): …In other words, it does not fall under the classification of being even or odd. Examples of How to Determine Algebraically if a Function is Even, Odd, or Neither. Example 1: Determine algebraically whether the given function is even, odd, or neither. [latex]f\left( x \right) = 2{x^2} – 3[/latex] I start with the given function [latex]f\left ...Excluded value (s): 0, 4. State the excluded values for this expression: 1/x (x-4) -3/ (x + 9) Simplify the expression: 1/ (x + 9) ÷ (6 - x)/ (3x - 18) 8x + 7 - 5/2x. Simplify the expression: (16x² + 14x - 5) ÷ (2x) Study with Quizlet and memorize flashcards containing terms like Excluded Value (s) = -2, 2, (x+9)/ (x+1), 2/7 and more.Study with Quizlet and memorize flashcards containing terms like How many terms are in the algebraic expression -7+12x^4-5y^8+x?, What is the simplified expression for 5ab+9ab-ab?, Simonne used the following steps to simplify the given expression. 12-3(-2x+4) Step 1: 12+(3)(-2x)+(-3)(4) Step 2: 12+6x+(-12) Step 3: 12+(-12)+6x Step 4: 0+6x Step 5: 6x …Verified answer. Which statement is true about the primary intent to have work in process constraints?. 14. The value of a that makes the statement true is -5 . Given the following equation: [tex]3^ {-1 }\div 3^4 = 3^a [/tex] To determine the value of a that makes the ….Using it's concept, it is found that the vertical asymptotes of the function are given by:. x = -1. x = 4. Vertical asymptote: The vertical asymptotes of a function f(x) are the values of x which are outside the domain of the function.; In a fraction, it is the roots of the denominator.; In this problem, the function is:. The denominator is , which is a quadratic ….