Question

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

Answer 1

Is it false?

Answer 2

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

Answer 3

so True?

Answer 4

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.

Answer 5

Thanks:)

Answer 6

You're welcome.