# Finite Math Examples

Find the Domain of the Quotient
,
Find the quotient of the functions.
Replace the function designators with the actual functions in .
Simplify.
Simplify the numerator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by .
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: