Give the domain of the following rational function using (a) set-builder notation and (b) interval notation 7x14 f(x) X (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain of the given function is {x]x is a real number, x } (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of the given function is {xlx is a real number

Q: x + a f(x) = x +b

A: Introduction  A rational function is any function which can be defined by a rational fraction, Which…

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

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Q: Use the graph of the rational function to complete the following statement As x -4, (x) As x -4, x)…

A: Since we know that asymtodes meets the curve at infinity. Therefore from the graph we can see that…

Q: Express the rational function as a sum or difference of two simpler rational expressions. &- IXx² +…

A: Proceed as shown

Q: Find the domain of the rational function. x-8 f (x) = x+2 Enter your answer in interval notation. To…

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Q: Follow the seven steps stategy to graph the rational function: f(x) =2/(x2 - 1)

A: Given  The seven steps strategy to graph the rational function are  1) Find domain ,2) Find range ,…

Q: Identify the asymptotes of the rational function X-6

A: Since, the given function is- hx=-3x2+6x-5x-6 The vertical asymptote of the function is given by…

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

A: The given function is :

Q: uct a table of values and sketch the

A: Given that : The function is f(x) = 4x+ 12x+1  , [ -3, 3].

Q: Find the domain of the rational function.   f(x)=x−6/x+1

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Q: Give the domain and range for the rational function. Use interval notation. 1 f(x) = (x+ 4)2

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Q: Explain how to obtain the rational function g(x) = from the parent function f(x) = !

A: Let's find.

Q: What is the domain of a rational function?

A: Given: What is the domain of a rational function?

Q: 31 Find the x-intercept of the given rational function.

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Q: domain

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Q: Find the domain of the rational function. x +3 x2 + 16 X+3 34) h(x)

A: Explanation of the solution is given below...

Q: Find the domain of the rational function: h(x) = (x + 8)/(x2 - 64)

A: Given- x+8x2-64 To find- the domain of the rational function. Concept used- The denominator of the…

Q: Use the graph of the rational function to complete the following statement. As x -1, f(x)→ X. -5 As…

A: Given

Q: Follow the seven steps stategy to graph the rational function: f(x)=x2/(x2 + x - 6)

A: Consider the given function fx=x2x2+x-6

Q: Use the graph of the rational function to complete the following statement. As x → -1", f(x) → As x…

A: Given,

Q: Find a formula for the rational function f(x) that satisfies the following conditions. Simplify the…

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Q: Use the graph of the rational function to complete the following statement. As x → - 0o, f(x) → As x…

A: The graph of the function is given by To evaluate : As x→-∞, f(x)→?

Q: Express the rational function as a sum or difference of two simpler rational expressions. x²–4 1/2…

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Q: Find the domain of the rational function. x-2 f (x) = r+4 Enter your answer in interval notation.

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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: Use the graph of the rational function to complete the following statement. 10- As x - 3*, f(x) –→…

A: To complete the below statement using the given graph. As x→3+, fx→

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

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Q: Find the domain of the following rational function. - 7x g(x) = (x-8)(x+ 6) Select the correct…

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Q: Follow the seven steps stategy to graph the rational function: f(x) = (x-4)/(x2-x - 6)

A: Given: f(x)=(x-4)x2-x-6 We have to follow the seven steps strategy to graph the given rational…

Q: Find the domain of the functions below. In your​ work, show why you arrived at your answers. Specify…

A: Part (a): Given, fx=5x2-13x2x+12

Q: 2x 1. f(x) = (x-1)

A: Given that, the function is fx=2xx-1. Note that, the function is defined for all values of x except…

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 given rational function. x-5 f(x)= x-1)(x+3) The domain of f is (Type your…

A:

Q: The domain of a rational function is the set of all real numbers except those for which the…

A: The rational function is a function which takes a subset of real numbers as input and returns a…

Q: What is the domain of the given rational function: )=*+2 r-5 O All positive real numbers O All real…

A: As per company rule we can answer only first question and rest can be reposted.

Q: 2х-1 f (x) х2+x-6 II

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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: 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: Use transformations of the graph of y = 1/x to graph the rational function, and state the domain and…

A: Given information: The function is r(x)=1x-1. Graph: Suppose the parent function is f(x)=1x. The new…

Q: Consider the following functions. f (x) = x+3 %3D x+1 and g(x) x+4 %3D x-2 a) Graph the following…

A: For (a), We need to plot fx=x+3x+1  and  gx=x+4x-2.

Q: how do i find the domain of this  rational function f(x)=2x/(2x+7)

A: We are given function as

Q: Create and graph your own example of a RATIONAL FUNCTION that is considered to be under, the degree…

A: Here we have to Create and graph a RATIONAL FUNCTION the degree of the numerator and denominator are…

Q: Use the graph of the rational function to complete the following Ay 10- statement. 8- As x → 1, f(x)…

A: To answer the given question, we carefully read the graphs and then answer the question.

Q: identify any real numbers excluded from the domain of the rational function. (enter your answers as…

A: The rational polynomial function of the form f(x)=p(x)q(x) is defined only for such x when q(x)≠0.…

Q: Find the domain of the following rational function. 19x + X H(x) = x2 +7 Select the correct choice…

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Q: Use the graph of the rational function to complete the following statement. As x → 4, f(x) → As x -…

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

A: