Given the function f(x) = (x+1)/(x-2), find the following:

(a) What is the average rate of change of f(x) with respect to x, when x is close to x+h?
(b) What is the derivative of f(x)?

Options:
1. Find the average rate of change of f(x) with respect to x, when x is close to x+h.
2. Calculate the derivative of f(x).
3. Determine the average rate of change of f(x) with respect to x, when x is close to x+h.
4. Find the derivative of f(x).