The functions are and
.
Find .
Apply composition of functions formula: .
To find , evaluate
, first. Then use the range as the domain of
and evaluate
.
or
(
)
or
(
)
(
)
is undefined.
(
)
is undefined.
Because and
are not in the domain of
,
is undefined for
and
, and
or
,
or
,
Therefore, .
Find .
Apply composition of functions formula: .
To find , evaluate
first. Then use the range as the domain of
and evaluate
.
(
)
is undefined.
(
)
is undefined.
(
)
is undefined.
(
)
is undefined.
Because and
are not in the domain of
,
is undefined for
and
.
Therefore, is undefined.
and
is undefined.