Answer
$f^{-1}$(y) = $\sqrt[3] (y-1) $ or $(y-1)^{\frac{1}{3}}$
Work Step by Step
Inverse function of f(x) = $x^{3}$ + 1
Inverse function means if f(a) = b, then $f^{-1}$(b) = a.
Let y be f(x).
y = $x^{3}$ + 1
y - 1 = $x^{3}$
x = $\sqrt[3] (y-1)$
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 2 - Section 2.3 - Functions - Exercises - Page 155: 69
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