# Precalculus Examples

,

Step 1

Consider the difference quotient formula.

Step 2

Evaluate the function at .

Replace the variable with in the expression.

Simplify the result.

Apply the distributive property.

The final answer is .

Reorder and .

Find the components of the definition.

Step 3

Plug in the components.

Step 4

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Apply the distributive property.

Multiply by .

Subtract from .

Add and .

Subtract from .

Add and .

Divide by .

Step 5