# Algebra Examples

,

Step 1

Replace the function designators with the actual functions in .

Step 2

Set the denominator in equal to to find where the expression is undefined.

Step 3

Step 3.1

Divide each term in by .

Step 3.2

Simplify the left side.

Step 3.2.1

Cancel the common factor of .

Step 3.2.1.1

Cancel the common factor.

Step 3.2.1.2

Divide by .

Step 3.3

Simplify the right side.

Step 3.3.1

Divide by .

Step 4

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

Interval Notation:

Set-Builder Notation:

Step 5