## anonymous one year ago Let f(x) = sin-1x. Then, the domain of f(x) is [-1,1] and the range is all real numbers. True or False

1. anonymous

Is it false?

2. mathstudent55

The range of sin x is [-1, 1] That means the domain of $$\sin ^{-1} x$$ is [-1, 1]. The domain is correct.

3. anonymous

so True?

4. mathstudent55

The domain is correct, but the range is not. The range of the inverse sine function is limited to $$[ -\dfrac{\pi}{2}, \dfrac{\pi}{2} ]$$ The range is incorrect, so the answer must be false.

5. anonymous

Thanks:)

6. mathstudent55

You're welcome.