OpenStudy (anonymous):

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.

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

No

3 years ago
OpenStudy (anonymous):

Okay, I'll need your help then.

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (anonymous):

Is h=3?

3 years ago
OpenStudy (anonymous):

Yep

3 years ago
OpenStudy (anonymous):

Yep

3 years ago
OpenStudy (anonymous):

Awesome, thanks!

3 years ago
OpenStudy (anonymous):

Anytime

3 years ago