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: 52

Answer

$\left\{(-1, 3), (0, 5), (5, 0), (\frac{2}{3}, 4)\right\}$

Work Step by Step

Every first coordinate of the function is paired with only one second coordinate. Every second coordinate of the function is paired with only one first coordinate. Thus, the given function is one-to-one. The inverse function can be found by interchanging the first coordinate and the second coordinate of each ordered pair: $=\left\{(-1, 3), (0, 5), (5, 0), (\frac{2}{3}, 4)\right\}$
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