39
QuizMultiple Choice

N/A — Exam

Question 39 • Algebraic Reasoning

What is the inverse of the function f of x is equal to 4 x plus 8 ?

Answer
A
h of x is equal to 1 half x plus 2
B
h of x is equal to 1 fourth x plus 2
C
h of x is equal to 1 half x minus 2
D
h of x is equal to 1 fourth x minus 2

Explanation

Write y = 4x + 8, then swap x and y to get x = 4y + 8. Solving for y gives y = (x − 8)/4 = 1/4 x − 2, so the inverse is h(x) = 1/4 x − 2.

AI-written and checked against the verified answer.

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