# Finite Math Examples

Find the Domain of the Quotient of the Two Functions
,
Find the quotient of the functions.
Replace the function designators with the actual functions in .
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Set the denominator in equal to to find where the expression is undefined.
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation: