Answer
$ f^{-1}(x) = (x - 2)^{3}$
Work Step by Step
$f(x) = 2 + \sqrt[3] x$
$y= 2 + \sqrt[3] x$
$y - 2 = \sqrt[3] x$
$(y - 2)^{3} = (\sqrt[3]x)^{3}$
$(y - 2)^{3} = x$
$(x - 2)^{3} = f^{-1}(x)$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 263: 69
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