Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - 6.4 Use Inverse Functions - 6.4 Exercises - Skill Practice - Page 443: 38

Answer

$$y=\sqrt[4]{\frac{2x}{3}},\:y=-\sqrt[4]{\frac{2x}{3}}$$

Work Step by Step

Switching the elements of the domain and the range (in other words, the dependent and independent variables), we find that the inverse is: $$x=\frac{3}{2}y^4 \\ y=\sqrt[4]{\frac{2x}{3}},\:y=-\sqrt[4]{\frac{2x}{3}}$$
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