12
QuizMultiple Choice

N/A — Exam

Question 12 • Algebraic Reasoning

Which two functions are inverses of each other?

Answer
A
f of x is equal to 2 x , g of x is equal to negative 1 half x
B
f of x is equal to x , g of x is equal to negative x
C
f of x is equal to negative 8 x , g of x is equal to 8 x
D
f of x is equal to 4 x , g of x is equal to 1 fourth x

Explanation

Two functions are inverses if applying one after the other returns the original input. In choice D, f(x) = 4x and g(x) = ¼x, so f(g(x)) = 4(¼x) = x and g(f(x)) = ¼(4x) = x. Therefore, the functions in choice D are inverses.

AI-written and checked against the verified answer.

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