Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises: 26

Answer

$y=-ln\frac{(1-x)}{(1+x)}$

Work Step by Step

Given: $y=\frac{1-e^{-x}}{1+e^{-x}}$ Now, replace the terms to find out the value of inverse function. Replace x with y $x=\frac{1-e^{-y}}{1+e^{-y}}$ $e^{-y}=\frac{1-x}{1+x}$ Hence, $y=-ln\frac{(1-x)}{(1+x)}$
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