College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding - Page 421: 81


See below.

Work Step by Step

If $g$ is one-to-one then for all $y=g(x)$ there is only one $x$. Thus the domain of the function becomes the range of the inverse function and vice versa. Thus the domain of $f^{-1}$ is $[0,\infty)$ and the range is $(-\infty,0]$.
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