Question

f(x)=x^2+8x
find f(x+h)-f(x)/h
how would i solve this?

Answer 1

f(x) = x^2 + 8x
f(x+h) = (x+h)^2 + 8(x+h) = x^2 + 2xh + h^2 + 8x + 8h
= x^2 + (2h + 8)x + (h^2 + 8h)

Subtract f(x) from f(x+h). Divide by h. Simplify.

Answer 2

thanks professor! :D

Answer 3

You are welcome.