SOLUTION: Find the difference quotient (f(x+h)-f(x))/h , where h is not equal to zero for the function below: f(x)=5x^2 +3x Simplify the answer as much as possible. Thanks!

Algebra ->  Equations -> SOLUTION: Find the difference quotient (f(x+h)-f(x))/h , where h is not equal to zero for the function below: f(x)=5x^2 +3x Simplify the answer as much as possible. Thanks!      Log On


   

Question 822903: Find the difference quotient (f(x+h)-f(x))/h , where h is not equal to zero for the function below:
f(x)=5x^2 +3x
Simplify the answer as much as possible.
Thanks!
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!

so that means
f%28x%2Bh%29-f%28x%29=5x%5E2%2B10xh%2B5h%5E2%2B3x%2B3h-5x%5E2-3x=10xh%2B5h%5E2%2B3h

furthermore
%28f%28x%2Bh%29-f%28x%29%29%2Fh=%2810xh%2B5h%5E2%2B3h%29%2Fh=10x%2B3%2B5h