Assume you are given functions f and g such that f(n) is O(g(n)). For each of the following statements, decide whether you think it is true or false and give a proof or counterexample. (a) log2 f(n) is O(log2 g(n)) (b) 2f(n) is 0(2g(n)) (c) f (n)2 is O(g(n)2)