The function is
.
\
The domain of a function is all values of
which makes the function mathematically correct.
Function under the square root can never be negative number.
\
The domain of function is
.
The range of function is
.
The function is increasing on entire its domain.
\The function is
.
Apply derivative on each side with respect to
.

Power rule of derivatives :
.

.
The domain of
is
.
is positive on the domain of
.
The function is one to one function.
\The function is
.
Change
to
.

Interchange
and
.

Solve for
.

.
Change
to
.
,
.
The function is one to one.
\
and
.