2. For each of the following pairs of functions, either f(n) e O(g(n)), or f(n) E n(g(n)), or f(n) E (g(n)). Determine which relationship is correct (or most accurate). You must show your work and use the definitions of Big-Oh, Big- Omega, and Big-Theta (show the constants needed for the correct relationship). a) f(n) = log(n2) and g(n)-n log(n) b) f(n) = 256 and g(n) = log(256) c) f(n) = 2n and g (n) = 2n+1 d) f(n) = 2n and g(n) = 3n e) f(n) = and g(n) n + n1/2