22
QuizMultiple Choice

Comparing a Function and Its Inverse — Quiz

Question 22 • Precalculus

Consider the function. f of x is equal to 2 and 1 half minus 3 and 1 third x What is the x -intercept of f inverse of x ?

Answer
A
open paren negative 3 and 1 third comma 0 close paren
B
open paren negative 3 tenths comma 0 close paren
C
open paren 2 and 1 half comma 0 close paren
D
open paren 3 fourths comma 0 close paren

Explanation

The x-intercept of f⁻¹ occurs where f⁻¹(x) = 0. Applying f to both sides gives x = f(0), and the function’s value at 0 is 2½ − 3⅓(0) = 2½. So the x-intercept is (2½, 0), choice B.

AI-written and checked against the verified answer.

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