Precalculus 2014
72

 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 .

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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