# Precalculus Examples

,

Step 1

Step 1.1

Replace the function designators with the actual functions in .

Step 1.2

Simplify.

Step 1.2.1

Apply the distributive property.

Step 1.2.2

Simplify.

Step 1.2.2.1

Multiply by by adding the exponents.

Step 1.2.2.1.1

Multiply by .

Step 1.2.2.1.1.1

Raise to the power of .

Step 1.2.2.1.1.2

Use the power rule to combine exponents.

Step 1.2.2.1.2

Add and .

Step 1.2.2.2

Multiply by by adding the exponents.

Step 1.2.2.2.1

Move .

Step 1.2.2.2.2

Multiply by .

Step 1.2.2.3

Multiply 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