# Finite Math Examples

Find the Domain of the Quotient
,
Distribute the value across the operation.
Evaluate .
Replace the variable with in the expression.
Simplify the result.
Remove parentheses around .
The final answer is .
Evaluate .
Replace the variable with in the expression.
Simplify the result.
Remove parentheses around .
The final answer is .
Compose the result function for by replacing the function designators with the actual functions.
Simplify.
Rewrite the division as a fraction.
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.