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: 64

Answer

$f^{-1}(x) = \frac{1}{\sqrt x}, x\gt0$

Work Step by Step

$f(x) = \frac{1}{x^{2}}, x\gt0$ $y = \frac{1}{x^{2}}$ $x^{2} = \frac{1}{y}$ $x = \sqrt {\frac{1}{y}}$ $x = \frac{1}{\sqrt y}$ $f^{-1}(x) = \frac{1}{\sqrt x}, x\gt0$
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