Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 466: 149



Work Step by Step

To find the inverse of $f(x)=y=x^2+4$, one must solve the equation for $x$. So we have$$y=x^2+4 \quad \Rightarrow \quad x^2=y-4 \quad \Rightarrow \quad x=\pm \sqrt{y-4}$$But since, by the assumption, $x \ge 0$, we get$$x=\sqrt{y-4}$$Thus, the inverse of the function is$$f^{-1}(x)=\sqrt{x-4}$$
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