Step 1 :Find the value of f(9) by substituting x = 9 in the function f(x) = x^2 - 3x. This gives f(9) = 9^2 - 3*9 = 54.
Step 2 :Find the value of g(9) by substituting x = 9 in the function g(x) = 3 - x. This gives g(9) = 3 - 9 = -6.
Step 3 :Subtract g(9) from f(9) to get (f-g)(9) = f(9) - g(9) = 54 - (-6) = 60.
Step 4 :So, the final answer is \(\boxed{60}\).