# Algebra Examples

Find the Domain of the Difference
,
Distribute the value across the operation.
Evaluate .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
The final answer is .
Evaluate .
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.
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: