# Precalculus Examples

,

Distribute the value across the operation.

Replace the variable with in the expression.

Simplify the result.

Simplify each term.

Remove parentheses around .

Multiply by .

The final answer is .

Replace the variable with in the expression.

Simplify the result.

Remove parentheses.

The final answer is .

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

Rewrite the division as a fraction.

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 up the equation to solve for .

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