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| PAGE: 414 | SET: Exercises | PROBLEM: 21 |
The functions are 
and 
.
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.
Find 
.
Apply composition of functions formula: 
.
To find , evaluate first. Then use the range as the domain of 
and evaluate .
(
)
is undefined.
or (
)
or 
(
)
(
)
is undefined.
Because 
and 
are not in the domain of , 
is undefined for 
and 
, and
or 
, or 
.
Therefore 
.
The solutions are is undefined and 
.
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