Question

The difference quotient of the function y= f(x) is defined as (f(x+h)-f(x))/h for h does not equal 0. Compute the difference quotient for f(x)= 3x -2. Please show the steps and substitution for your solution.

Answer 1

\[(f(x+h)-f(x))\div h\]

Answer 2

Take f(x+h) and plug the (x+h) into your equation 3x-2 what do you get?

Answer 3

I just tried to get the answer. Is it f(x)= -2x+2?

Answer 4

No

Answer 5

Okay, I'll need your help then.

Answer 6

So I have 3(x+h) - 2(x+h) - (3x-2)/h

Answer 7

\[\frac{ 3(x+h)-2-[3x-2] }{ h }\]

Answer 8

Okay, so then you'd have 3x + 3h - 2 - 3x-2/h

Answer 9

You wouldn't do 2(x+h) because there is no variable attached to 2.

Answer 10

Is h=3?

Answer 11

Yep

Answer 12

Yep

Answer 13

Awesome, thanks!

Answer 14

Anytime