assume that f(n) and g(n) are increasing functions so you cannot assume that g(n) = 1 for all n

. 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 a proof or counterexample. (a) log2 f(n) is O(log2 g(n)). (b) 2f (n) is O(28(n)). (c) f(n) is O(g(n)2)