SOLUTION: Let g(x)=3x-x^2. Find the difference quotient of g. Here's what I have: (but, the -x^2 is causing me trouble). Are you able to tell me where I'm messing up? Here's what I ha

Question 768064: Let g(x)=3x-x^2. Find the difference quotient of g.
Here's what I have: (but, the -x^2 is causing me trouble). Are you able to tell me where I'm messing up? Here's what I have so far:
(x+h)^2+3(x+h)-(-x^2+3x)/h.
x^2+2xh+H^2+3x+3h+x^2-3x/h.
2x^2+2xh+h^2+3h/h.
2x^2+2x+h+3.
Something tells me this is not correct, though. Will you help me?!?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

Watch for simplifications, cancellations within the numerator,
OKAY...

EDIT: Corrected the mistake in my own work,

finish the simplification,

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