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: 57

Answer

The two functions graphed are not inverses of each other.

Work Step by Step

The red graph contains the following points : $(-2. 0)$ and approximately $(-2.5)$. The blue graph contains the following points : $(2, 0)$ and approximately $(0, 2.5)$. Since the red graph contains $(-2, 0)$, its inverse must contain $(0, -2)$. However, the blue graph does not contain $(0, -2)$. Thus, the two functions graphed are not inverses of each other.
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