# Algebra Examples

,

Distribute the value across the operation.

Replace the variable with in the expression.

Simplify the result.

Multiply by .

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.

Simplify each term.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

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: