SOLUTION: Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=x^2-x

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Question 751401: Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=x^2-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x^2-x

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

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

--------------------------------

[ f(x+h) - f(x) ]/h

[ x^2+2xh+h^2-x-h - (x^2-x) ]/h

[ x^2+2xh+h^2-x-h - x^2+x ]/h

[ 2xh+h^2-h ]/h

[ h(2x+h-1) ]/h

2x+h-1

2x-1+h

Final Answer: 2x-1+h