SOLUTION: Evaluate and simplify {{{ f(x+h)/h -f(x)/h }}} if h≠0 and {{{ f(x)= x^2-3x+5 }}}

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Question 838124: Evaluate and simplify +f%28x%2Bh%29%2Fh+-f%28x%29%2Fh+ if h≠0 and +f%28x%29=+x%5E2-3x%2B5+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x+h)/h -f(x)/h if h # 0 and f(x)= x^2-3x+5
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f(x+h) = (x+h)^2-3(x+h)+5 = x^2+2hx+h^2-3x-3h+5
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Subtracting f(x) you get::
= 2hx + h^2-3h
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Dividng by "h" you get:
= 2x + h - 3
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Cheers,
Stan H.