Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 6 - Analytic Trigonometry - Section 6.1 The Inverse Sine, Cosine, and Tangent Functions - 6.1 Assess Your Understanding - Page 476: 83

Answer

$ f^{-1}(x)=log_2(x-1)$

Work Step by Step

$f(x)=1+2^x \Longrightarrow y=1+2^x \Longrightarrow x=1+2^y \Longrightarrow y=log_2(x-1) \Longrightarrow f^{-1}(x)=log_2(x-1)$
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