The function is
.
Find the inverse function.
\Change
to
.
.
Interchange
and
.

Add
to each side.


Divide each side by
.


Apply inverse trigonometric property:
.

The inverse function is
.
Find the range of
:
.
.
Range of the tangent function:
.



.
The range of
is
or
.
The domain of
is range of
.
The range of
is
.
Hence the domain of
is
.
The range of of
is domain of
.
The domain of
is
.
Hence the range of
is
.
The inverse function is
.
The range of
is
.
The domain of of
is
.
The range of
is
.