Will mark brainlist to whoever gives me the correct answers with the work:) Use the information below for Part A, Part B, and Part C.

f(x) = 1/2x -7

g(x) = 2x + 14

Part A: Find (fog)(x). Show your work.

Part B: Find (gºf)(x). Show your work.

Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.

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  A:  (f∘g)(x) = x

  B:  (g∘f)(x) = x

  C:  the functions are inverses

Step-by-step explanation:

A: (f∘g)(x) = f(g(x)) = f(2x +14)

  = 1/2(2x +14) -7 = x +7 -7 = x

  (f∘g)(x) = x

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B: (g∘f)(x) = g(f(x)) = g(1/2x -7)

  = 2(1/2x -7) +14 = x -14 +14 = x

  (g∘f)(x) = x

__

C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.

step-by-step explanation:

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step-by-step explanation: