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| PAGE: 63 | SET: Exercises | PROBLEM: 72 |
The functions are 
and 
.
To find 
, we need to find the domain of 
.
The domain of is 
.
Now one can able to evaluate 
for each value of 
.
Therefore, the domain of 
is 
.
Find 
.
Replace with 
.
Substitute 
for 
in 
.
Therefore, 
for 
.
To find 
,we need to find the domain of .
The domain of is all real numbers.
Now one can able to evaluate for each value of .
The domain of is .
This means that we must exclude it from the domain those values for which 
.
Solve the inequality 
.
Add 
to each side.
Square of any real number is positive.
Since 
will never be less than zero, there are no -values in the domain of 
such that .
This means there is no restriction for the domain of 
.
Therefore, the domain of is all real numbers.
Find 
.
Replace 
with 
.
Substitute 
for in 
.
Therefore, 
.
for .
.
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