The function is
.
The function
is one-to-one for
.
The function is
.
Rewrite the function as
.
Find the inverse function.
\
.
Interchange the variables
and
.

Extract square root on each side.
\
Substitute
.
The inverse of the function is
.
The inverse function is
.
The domain of a function is all values of
, those makes the function mathematically correct.
The function under the square cannot be negative.
\The domain of the
is set of all non negative real numbers.
Domain of
is
.
The inverse function is
and its domain is
.