Find the diffrence in quotient and simplify your answer...HELP!!?

Question

2x^2+3x-1, f(x+h)-f(x)/h, h is not = to zero

Answer 1

Do you mean {f(x+h)-f(x)} /h and let h approach zero?
If "yes", it would be the fundamental of derivative of the function f(x) and if f(x) = 2x^2+3x-1, the derivative would be 4x + 3.
Let me show you:
f(x+h)-f(x) = 2(x+h)^2+3(x+h) -1 - {2x^2+3x-1}
= 4xh + 2h^2 + 3h
Thus {f(x+h)-f(x)} /h = 4x + 2h + 3
When h approachs zero, the result approachs 4x + 3.
Have I answered your question?