Problem 1: Relative Functions Assume you have functions f and g such that f(n) is 12(g(n)). For each of the following statements, decide whether it is true or false and give either a proof or a counterexample. (You can assume f and g are positive, nondecreasing functions.) (a) n log2 f(n) is (n log2 g(n)) (b) 2f(n) is 12 (29(n)) (c) f(n)/2 is 2 (g(n)1/2)