PLEASE ONLY SOLVE C.

2. Prove whether each of the following statements are true or not. For those that you believe are false, prove this by giving a counterexample (i.e. particular functions for f(n) and g(n) for which the given statement is not true). For those that you believe are true, use the formal definitions of big-oh, big-Omega, and big-Theta to prove it. In all problems, you are given that for all n, f(n and n) 0. 15 (a) Time complexity of Tn)-T(3n/4)+ TIn/4) +n can be written as Omega(nlogn) (b) f(n)-g(n) = O(max(f(n),g(n))) (c) If f(n)-Omega(g(n)) then g(n) = 0(f(n))