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 - Page 262: 42


f and g are inverses of each other

Work Step by Step

g(x) = $\sqrt[5] x$ = $x^{\frac{1}{5}}$ $g(f(x))= g(x^{5})$ ${x^{5}}^{\frac{1}{5}}$ = x $f(g(x)) = f(x^{\frac{1}{5}})$ ${x^{\frac{1}{5}}}^{5}$ = x Since f(g(x)) = g(f(x)), f and g are inverses of each other
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