Assume you have 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 either a proof or a counterexample (a) log2 f(n) is O(log29(n)) (b) 2f(n) is O(29(n)) (c) f(n)2 is O(g(n))