SOLUTION: F(x+h)-f(x)/h where f(x)=x^2-x+4

Question 1040330: F(x+h)-f(x)/h where f(x)=x^2-x+4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's start by computing f(x+h)

f(x) = x^2 - x + 4
f(x+h) = (x+h)^2 - (x+h) + 4 ... replace every 'x' with (x+h)
f(x+h) = (x^2+2xh+h^2) - (x+h) + 4
f(x+h) = x^2+2xh+h^2 - x-h + 4

So
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Using what we found earlier, let's subtract f(x) from both sides

Replace f(x) with x^2-x+4

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Now that's divide that by h

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So in the end, after simplifying, is equal to
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