SOLUTION: if f(x)= x^2 - 2x+7, find find f(x+h)- f(x) show steps and complete answer please! Thanks!

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Question 1152207: if f(x)= x^2 - 2x+7, find find f(x+h)- f(x)
show steps and complete answer please! Thanks!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if f%28x%29=+x%5E2+-+2x%2B7,
find f%28x%2Bh%29-+f%28x%29
first:
f%28x%2Bh%29=%28x%2Bh%29%5E2+-+2%28x%2Bh%29%2B7
f%28x%2Bh%29=x%5E2%2B2xh%2Bh%5E2+-+2x-2h%2B7
then
f%28x%2Bh%29-+f%28x%29=x%5E2%2B2xh%2Bh%5E2+-+2x-2h%2B7-%28x%5E2+-+2x%2B7%29
f%28x%2Bh%29-+f%28x%29=x%5E2%2B2xh%2Bh%5E2+-+2x-2h%2B7-x%5E2+%2B2x-7....simplify

f%28x%2Bh%29-+f%28x%29=h%5E2%2B+2xh+-2h+