# Precalculus Examples

, ,

Step 1

Set up the composite result function.

Step 2

Evaluate by substituting in the value of into .

Step 3

Step 3.1

Rewrite as .

Step 3.2

Expand using the FOIL Method.

Step 3.2.1

Apply the distributive property.

Step 3.2.2

Apply the distributive property.

Step 3.2.3

Apply the distributive property.

Step 3.3

Simplify and combine like terms.

Step 3.3.1

Simplify each term.

Step 3.3.1.1

Multiply by .

Step 3.3.1.2

Move to the left of .

Step 3.3.1.3

Rewrite as .

Step 3.3.1.4

Rewrite as .

Step 3.3.1.5

Multiply by .

Step 3.3.2

Subtract from .

Step 3.4

Apply the distributive property.

Step 3.5

Multiply by .

Step 4

Step 4.1

Add and .

Step 4.2

Simplify by adding and subtracting.

Step 4.2.1

Subtract from .

Step 4.2.2

Add and .