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: 34

Answer

Inverse action: descend down the staircase

Work Step by Step

In loose terms, let f(being downstairs)=get upstairs (climb the stairs) We want the inverse to be defined on being upstairs g(being upstairs )=get downstairs So, g(f (being downstairs)=being downstairs and f(g( being upstairs )= being upstairs [ f(g(x))=x and g(f(x))=x ] Inverse action: descend down the staircase
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