Assume f(n) and g(n) are asymptotic positive functions. Indicate whether the following statements are true or false. Please justify your answers for (d) and (e). That is, give a proof using the big-O notation if the statement is True, or give a counterexample if the statement is False (and justify why your example is the counterexample). Please specify the constants c and n0 in your proofs. (a) f(n)=O(g(n)) implies g(n)=(f(n)). true / false (b) f(n)=O((f(n))2). true / false (c) If f(n)=o(g(n)), then f(n)=O(g(n)). true / false (d) f(n)+g(n)=(n) implies f(n)=O(n). true / false (e) f(n)+o(f(n))=O(f(n)). true / false (f) f(n)+g(n)=(n) implies either f(n)=(n) or g(n)=(n). true / false