College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises: 56

Answer

$f^{-1}(x) = \frac{2x}{x - 3}$

Work Step by Step

$f(x) = \frac{3x}{x - 2}$ $y = \frac{3x}{x - 2}$ y(x - 2) = 3x yx - 2y = 3x yx - 3x = 2y x(y - 3) = 2y $x = \frac{2y}{y - 3}$ $f^{-1}(x) = \frac{2x}{x - 3}$
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