Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y = g(x). (c) Find y = f(g(x)) and y = g(f(x)). Are these two composite functions equal? Explain your answer.

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A: The given function y=9x+87. We have to write the function as a composition of two functions.

Q: The function y = f(x) is transformed to become the function g(x) = 4f(b(x - 5)). The point (4,6) on…

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Q: f(x) = x³ (-4x + 2) g(x) = -4x+2

A: f(x)=x3(−4x+2)g(x)=−4x+2

Q: Find and sketch the domain for the function. f(x.y) = / (x² - 16) (y² -9)

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Q: Use the graph (see attached) of y = f(x) to graph the function g(x) = (1/2)f(x - 1)

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Q: Consider the two functions given below: 1 f(x) = /x- 8, g(x) = x-8 Identify the domain of g o f (x)

A: The functions are given by fx = x-8, gx = 1x-8 To evaluate: The domain of g∘fx

Q: Write the function as a composition of two functions. y = (8x + 7) 4 For f(g(x)], g(x)=

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Q: Use the graphs of f and g to evaluate the functions. y f(x) y g(x) 4 3- 1 2. (a) (f. g)(2) (b) (g .…

A: Here is the solution of the given problem.

Q: Sketch the graph of the function f(x) = 3x 4 + 4x 3 .

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Q: (a) f(x) = 3 - 2x + 4x? 2t + 1 (b) f(t) = %3D t+3 (c) f(x) = /3x + 1 %3D

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