The functions are and
.
Domain test :
\Find the domain of .
All possible values of is the domain of the function.
The function under the square root should not be a negative.
\The domain of the function is .
Find the domain of .
All possible values of is the domain of the function.
The function under the square root should not be a negative.
\The domain of the function is .
From above, the functions of the domains are equal.
\Therefore the two functions are equal.
\Observe the two functions, they are equal but with different variables.
\For same values of and
, the two functions yields same solution.
Consider .
Substitute in
.
( Since
)
Therefore, .
The two functions are equal.
\Yes, it is true.