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 416: 36

Answer

Inverse action: empty the cup.

Work Step by Step

In loose terms, let f( empty cup )= full cup We want the inverse to be defined on full cups g( full cup )= empty cup So, g(f ( empty cup )= empty cup and f(g( full cup )= full cup [ f(g(x))=x and g(f(x))=x ] Inverse action: empty the cup
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