Express the rational function as a sum or difference of two simpler rational expressions. (Note: x3 − 1 = (x − 1)(x2 + x + 1).) 3x2 x3 − 1

Q: Find the domain of the rational function. x + 2 x2 - 36 33) f(x) =

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Q: Simplify by dividing the two rational expressions 2x2-5x-3 4x-1 Simplify X -16 2x +7x-4 Select one:…

A: We will simplify each of the fraction and then divide them.

Q: The following question is about the rational function r(x) =  (x + 1)(x − 3) (x + 3)(x − 7)…

A: Given rational function is:

Q: Determine the non-permissible for the rational expression A) 16x^3 / 2x+12 B) 3x^2+2x / x^2 - 6x C)…

A: Non-permissible value for a rational function is a value of variable which makes denominator equal…

Q: Find the x- and y-intercepts of the rational function.

A: Given rational function is, r(x)=x-1x+4.

Q: how to find the x and y coordinates of the hole found in the rational function of y=…

A: In the question it is asked to find the value of x and y coordinates of the hole found in rational…

Q: Find the domain of the rational function f(x) =x/(x2 - 16) and graph the function.

A: The given function is :

Q: 3x – 3 - Analyze the rational function y %3D 6 – x

A: This is a problem of analysis of a function. To get the stationary and inflection points. Also, in…

Q: Express the rational function as a sum or difference of two simpler rational expressions. 3x4 x2 −…

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Q: Find the domain of the rational function f(x) = (x2 - 9)/(x - 2) and graph the function.

A: The given function is:

Q: In Problem,find the domain of each rational function.

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: Determine the exact value of x in the rational equation. 1 (x-2)2 3

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Q: S x² - 2x² + 3x² -x +3 "x²³ - 2x² + 3 +3

A:

Q: The restrictions on the variable in the rational equation 1 2x - 1 x - 2 x + 4 x* + 2r - 8 are and…

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Q: Find the domain of the rational function. x + 6 h(x) = x2 - 4x

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Q: Given the rational function x³+ 3x² r(x) = (x + 2)2

A: Given,           The rational function is rx=x3+3x2x+22 .

Q: Express the rational function as a sum or difference of two simpler rational expressions. 2x (x+2)²…

A: Use  partial fraction to solve

Q: Find the domain of the rational function: h(x) = (x + 7)/(x2 - 49)

A: We have to find the domain of the rational functionh(x)=x+7x2-49

Q: For the rational function f(x)=x−23x2+x−2, fill in the points on the graph at the function value…

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Q: Find the solution for each rational 3 %3D x+1 x-3

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Q: The rational equation value of a+b+c. Answer: 2x+4 3 4x = 2x can be simplified to the form ax²+bx+c…

A: Given query is to find the value of a+b+c.

Q: What is the equation of the slant asymptote of the rational function? f(x) = 10x³-15x²+x-1 5x²-2 11…

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Q: Find the domain of the rational function f(x) = x/(x2 - 16) and graph the function.

A: The given function is fx=xx2-16. Obtain the domain of the rational function as follows: Take the…

Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

A:

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) x2…

A: We will proceed as follows

Q: The following question is about the rational function (x + 1)(x – 3) (x + 3)(x – 8) r(x) = . The…

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Q: Find the domain of the rational function: h(x) = (x + 5)/(x2 + 25)

A: h(x)=x+5x2+25

Q: Find the domain of the rational function f(x) = [1/(x - 1)] + 2 and graph the function.

A: Domain: Domain of a function is the set of input values for which the function is real and defined.

Q: John found that combining the two rational expressions provided him with the necessary information…

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Q: What is the possible roots of 3x⁵-6x³-2x² + 8x - 5 = 0? - What is the only rational root of the…

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Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DI x² – 4…

A: To find the x and y-intercept of the below function. rx=x2−4x2

Q: Graph the rational function  f(x)=−2x^2- 6x/ x^2+4x +3 .

A: We have to draw the graph

Q: 6) Find the domain of each rational function. 3x a) R(x) = x+4 4(x²-9) b) R(x) = %D 5(x2-7x+12)

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Q: Find the domain of the rational function: f(x) = (x2 - 25)/(x - 5), b. g(x) = x/(x2 - 25)

A: (a) Consider the provided function, fx=x2-25x-5 Find the domain of the rational function. The domain…

Q: rational expressi

A: Rational Expression: 5(x-3)(2x-1)10(x-3)2

Q: find the end behavior for this rational function:. (3x^2 + 15x - 42) ÷ (x^2 - 25)

A: Let fx=3x2+15x−42x2−25 We have to find the end behavior that is check at ±∞ Now,…

Q: Find the domain of the rational function f(x) = (x + 1)/(x2 + 2x - 3) and graph the function.

A: fx=x+1x2+2x-3 The given function is not defined at which denominator is zero. So first we find the…

Q: Find the domain of the rational function f(x) = 1/(x + 3)2 and graph the function.

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Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: graph the rational function: f(x) = -2 %3D -メー).

A: We have to graph the given function.

Q: Solve for the zeros of the following functions using the Rational Root Theorem. 1. P(x) = 2x3 - x 2…

A: In Rational root theorem, we can get a list of possible rational roots for a polynomial function.…

Q: Find the domain of the rational function.   R(x)= 2+8x         x3-6x2-7x

A: The function is given by R(x) = 2+8xx3-6x2-7x

Q: The x-intercept of the rational function r(x) 2x+6 is x-5 %3D a) (5,0) b) (-5,0) c) (3,0) d) (-3,0)…

A: The given rational function is: rx=2x+6x-5 The x-intercept is a point on the x-axis, where the graph…

Q: Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.) x2…

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Q: Find the domain of the rational function f(x) =(x + 1)/(x2 + 2x - 3) and graph the function.

A: Given the rational function, f(x)=(x+1)(x2+2x-3)

Q: Find the domain of the rational function. x-7 f (x) = x+5 Enter your answer in interval notation.

A: