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: 56

Answer

The pair of functions graphed are inverses of each other.

Work Step by Step

The red graph contains the following points (approximation only): $(0, -2.5)$ and $(1.25, 0)$. The blue graph contains the following point (approximation only): $(-2.5, 0)$ and $(0, 1.25)$. Notice that: $(0, 1.25)$ and $(1.25, 0)$ are 'inverses' of each other $(-2.5, 0)$ and $(0, -2.5)$ are 'inverses' of each other Note also that the graphs are reflections of each other with respect to the line $y=x$. Therefore, the pair of functions graphed are inverses of each other.
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