Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Appendix A - Section A.2 - The Inverse of a Function - A.2 Problem Set - Page 496: 14

Answer

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

Work Step by Step

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