SOLUTION: Find and simplify the difference quotient for the given function. f(x) = x2 + 9x - 2

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Question 1176287: Find and simplify the difference quotient for the given function.
f(x) = x2 + 9x - 2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
f(x) = x^2 + 9x - 2    | Note:  use of " ^ "
DQ = %28f%28x%2Bh%29+-+f%28x%29%29%2Fh

f(x+h) = (x+h)^2 + 9(x+h) -2 = x^2 + 2xh + h^2 + 9x + 9h - 2

f(x+h) - f(x) = x^2 + 2xh + h^2 + 9x + 9h - 2 -x^2 - 9x + 2

%28f%28x%2Bh%29+-+f%28x%29%29%2Fh = (2xh + h^2 + 9h)/h = 2x  + h + 9

Wish You the Best in your Studies.