Question

Find the domain of the following function:

`f(x)=sin^-1x^2`

 

Answer 1

To the domain of sin^-1 which is [−1, 1]

∴ x² ∈ [0, 1] as x² can not be negative

∴ x ∈ [-1, 1] 

Hence, the domain is [−1, 1]