The functions are and
.
To find , we need to find the domain of
, which can be done for
.
Then evaluate for each of these
values, which is only true when
.
This means that we must exclude from the domain those values for which .
Solve the equation .
.
Therefore, the domain of is
.
Find .
Replace with
.
Substitute for
in
.
.
Notice that is only defined for
, which is the same restriction determined the by considering the domains of
and
.
Therefore, for
and
.
To find , we need to find the domain of
, which can be done for
.
Then evaluate for each of these
values, which can only be done for all
.
This means that we must exclude from the domain those values for which .
Solve the equation .
Combining this restrictions.
\Therefore, the domain of is
.
Find
Replace with
.
Substitute for
in
.
.
Notice that is only defined for
. which is the same restriction determined the by considering the domains of
and
.
Therefore, for
and
.
for
and
.
for
and
.