Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.5 - Inverse Trigonometric Functions and Their Graphs - 5.5 Exercises - Page 445: 51

Answer

See graph and explanations below.

Work Step by Step

We graph both $f$ and $g$ as shown in the figure. The domain of $f$ is $[-1,1]$ which gives a range of $[-1,1]$, while the domain of $g$ is $[-\frac{\pi}{2}, \frac{\pi}{2}]$ which gives a range of $[-\frac{\pi}{2}, \frac{\pi}{2}]$,
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