Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.8 - Inverse Functions - Exercise Set - Page 272: 93


The statement is false. The correct statement is, “If $f\left( x \right)=3x$, then ${{f}^{-1}}\left( x \right)=\frac{x}{3}$.”

Work Step by Step

Let us consider the function below: $f\left( x \right)=3x$ The inverse of $f\left( x \right)$ can be found as follows: $y=3x$ Now interchange y with x $x=3y$ So, $y=\frac{x}{3}$ Thus, ${{f}^{-1}}\left( x \right)=\frac{x}{3}$ is the inverse of f and the above statement is false.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.