Problem 2 (8 points). Assume f(n) and g(n) are asymptotic positive functions. Indicate whether the following statements are true or false. Justify your answers for (e) and (f). 1 point each for (a) - (a), 2 points each for (e) and (f). (a) f(n) = (g(n)) implies g(n) = 4(f(n)). true / false (b) f(n) =0((f(n))). true / false (c) if f(n) = (g(n)), then f(n) = (g(n)). true / false (d) f(n) + g(n) = O(n) implies f(n) = O(n). true / false (e) f(n) + g(n) = O(n) implies either f(n) = O(n) or g(n) = O(n). true / false (f) f(n) +o(f(n)) = f(n)) true / false