SOLUTION: Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below. f(x)=2x^2-x Simplify your answer as much as possible

Question 395032: Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below.
f(x)=2x^2-x

Simplify your answer as much as possible
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the difference quotient f(x+h)-f(x)/h, where h cannot be equal to 0 , for the function below.
f(x+h)
= (2(x+h)^2)-(x+h)
---
= 2x^2+4xh+2h^2-x-h
---
= 2x^2+4xh-x+2h^2-h
============================
f(x)=2x^2-x
-------
Subtract the f(x) from the f(x+h) to get:
4xh+2h^2-h
-----
Now divide by "h" to get:
4x+2h-1
===================
Cheers,
Stan H.

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