The function is .
Find the inverse function.
\Change to
.
Interchange and
.
.
Divide each side by .
Apply inverse trigonometric property: .
Subtract each side by .
The inverse function is .
Find the range of :
.
Range of the sine function: .
Here,
.
Thus, the range of is
.
The Domain of of is range of
.
Range of is
.
Domain of is
. \ \
The Range of of
is domain of
.
Range of of is
or
.
The inverse function is .
The range of is
.
The domain of is
.
The Range of is
.