The function fhas a domain of [0,4] and a range of [0,2]. a. Suppose the function g is defined as g(x) = 2f(x). Determine the domain and range of g. b. Suppose the function j is defined as j(x) = -f(x). Determine the domain and range of j. c. Suppose the function k is defined as k(x) = f(x – 4). Determine the domain and range of k.

Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

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Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: Consider the function. 5x f(x) = √x² +1 Identify the domain of f. (Give your answer as an interval…

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Q: 5/4 Evaluate the piecewise-defined function for the given values. (-2x – 3 when x 1 63. f(0)…

A: A detailed solution is given below

Q: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x.…

A: a. As (f-g)(-1) = f(-1) - g(-1) So (f-g)(-1) = [(-1)2 - 3(-1) + 1] - 8 - (-1)                = 1 + 3…

Q: 3. Find the domain or range of the following functions f(x) =x -|x| Find the range. f(x) =. 2-x Find…

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Q: Let f(x) = x²-1 and g(x)= V15 – a Find the the natural domain o the function gof(x)

A: we have to find domain

Q: Let f(x) = x and g(x) = x-8. Determine the composite functionfog and its domain. %3D (fo g)(x) =…

A: given that fx=x and gx=x3-8determine the composite function fog and its domain

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Express the function F in the form f ∘ g ∘ h. (Enter your answers as a comma-separated list. Use…

A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

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Q: The graphs of two functions f and g are given. Use them to evaluate each of the followine (-1, 7) 9.…

A: topic - composite functions

Q: I. Let f(x) = x + 2 and g(x) = x² + 4x+4. Perform each function operation and then find the domain…

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Q: The function f and g are defined as follows. A. -3 or f(x)%= In(x+1), x>-1 8(x)=x² +2x , x>-1 B. -3…

A: Solved below

Q: The domain of a one-to-one function g is [0, 15] , and its range is (0, 8). State the domain and the…

A: The domain of a one-to-one function g is 0, 15 and its range is 0, 8.