# Thread: Difference Quotient

1. ## Difference Quotient

Consider the function below.

Evaluate the difference quotient for the given function. Simplify your answer.

2. Originally Posted by zweevu
Consider the function below.

Evaluate the difference quotient for the given function. Simplify your answer.

I'll set you up and I'll leave the simplification for you to do.

$\frac{f(x)-f(2)}{x-2}=\frac{\frac{x+4}{x+2}-\frac{6}{4}}{x-2}=\frac{2(x+4)-3(x+2)}{x-2}$

I'm sure you can take it from here.