# Precalculus Examples

,

Step 1

Step 1.1

Replace the function designators with the actual functions in .

Step 1.2

Simplify.

Step 1.2.1

Simplify the numerator.

Step 1.2.1.1

Rewrite as .

Step 1.2.1.2

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Step 1.2.2

Cancel the common factor of .

Step 1.2.2.1

Cancel the common factor.

Step 1.2.2.2

Divide by .

Step 2

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:

Step 3