SOLUTION: Please help. Construct and simplify the difference quotient for f(x)= x^2-x. Thanks

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Question 170000: Please help.
Construct and simplify the difference quotient for f(x)= x^2-x.

Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Construct and simplify the difference quotient for f(x)= x^2-x.
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Difference quotient: [f(x+h)-f(x)]/h
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f(x+h) = (x+h)^2 - (x+h) = x^2+2hx+h^2-x-h
f(x) = x^2 - x
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Subtracting you get:
f(x+h)-f(x) = 2hx+h^2-h
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Dividing by h you get: 2x-1+h
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Cheers,
Stan H.