Answer
Fill the blank with
... range ...
Work Step by Step
The domain of $f$ is the range of $f^{-1}$, and
the domain of $f^{-1}$ is the range of $f.$
arcsin$x$ and sin$x$ are inverse functions, (when we restrict the domain of sin$x$) ,
so the domain of one is the range of the other.
Fill the blank with
... range ...