The function is
for
.
Consider
.
Solve above equation for
in terms of
.

.
.
Find the domain of the inverse function
.
Domain of the inverse function is same as the range of
.
For
, the range of
is
.
Therefore, domain of the inverse function
is
.
To express the inverse function
interms of
, interchange
and
then the resulting equation is
.
,
.
Inverse of the function is
,
.