Chapter 13.9, Problem 43HP

To determine

To state how the range and domain of the given functions are related.

Answer to Problem 43HP

The domain of the $y={\sin }^{-1}x$ is range of the $y=\sin x$ .

Explanation of Solution

Given: The relation between the domain of $y={\sin }^{-1}x$ and range of $y=\sin x$ is to be found.

Since the given two functions are inverse of each other. And domain of $y={\sin }^{-1}x$ is $\left[-1,1\right]$ which is same as the range of $y=\sin x$ .