Question

Any help would be greatly appreciated

if f(x)= x^2-x+2 then find f(x+h)-f(x)/h

Answer 1

\[\Large f(x)= x^2-x+2\]


\[\Large f(x+h)= (x+h)^2-(x+h)+2\]


\[\Large f(x+h)= x^2+2xh+h^2-x-h+2\]

Answer 2

\[\Large \frac{f(x+h)-f(x)}{h}\]


\[\Large \frac{(x^2+2xh+h^2-x-h+2)-(x^2-x+2)}{h}\]


I'll let you simplify that.

Answer 3

Sorry, I walked away from the computer for a few, thanks so much!! I appreciate the explanation, this way I should be able to figure out the rest as well!!

Answer 4

you're welcome