# Finite Math Examples

,

Distribute the value across the operation.

Replace the variable with in the expression.

Simplify the result.

Remove parentheses.

The final answer is .

Replace the variable with in the expression.

Simplify the result.

Multiply by .

The final answer is .

Compose the result function for by replacing the function designators with the actual functions.

Rewrite the division as a fraction.

Set the denominator in equal to to find where the expression is undefined.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Divide by .

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation: