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
.