# Precalculus 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 up the equation to solve for .

Divide each term by and simplify.

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.