Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.1 Inverse Functions - 4.1 Exercises - Page 417: 39


The given functions are not inverses of each other.

Work Step by Step

A function has an inverse function if it is one-to-one. The function $f$ is many -to-one since the first coordinates 2, 3, and 4 are all paired with the same second coordinate $5$. This means it has no inverse function. Thus, the given functions are not inverses of each other.
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