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.

Question

anonymous · Answer

$$(f(x+h)-f(x))\div h$$

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

No

anonymous · Answer

Okay, I'll need your help then.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Is h=3?

anonymous · Answer

Yep

anonymous · Answer

Yep

anonymous · Answer

Awesome, thanks!

anonymous · Answer

Anytime