1. Functions and Modeling

Inverse Functions — Quiz

Test your understanding of inverse functions with 5 practice questions.

Practice Questions

Question 1

If a function $f(x)$ has an inverse $f^{-1}(x)$, what is the result of the composition $f(f^{-1}(x))$?

Question 2

Given the function $f(x) = 4x + 2$, what is the inverse function $f^{-1}(x)$?

Question 3

What is the domain of $f^{-1}(x)$ if the range of $f(x)$ is $(-\infty, 5]$?

Question 4

Which of the following transformations maps the graph of a function to the graph of its inverse?

Question 5

If $f(x) = x^2$ for $x \ge 0$, what is $f^{-1}(x)$?