Precalculus Examples

Find the Domain of the Quotient of the Two Functions
Step 1
Find the quotient of the functions.
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Step 1.1
Replace the function designators with the actual functions in .
Step 1.2
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Step 1.2.1
Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.2.2
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Step 2
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Step 3
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