Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.2 Logarithmic Functions - 6.2 Exercises: 91

Answer

$g^{-1}(x) = e^{x}$

Work Step by Step

$g(x) = \ln x$ Let $g(x) = y$ $y = \ln x$ Swap the $x$ and $y$ variable to find the inverse: $x = \log_e y$ $y = e^{x}$ $g^{-1}(x) = e^{x}$
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