Consider the following pairs of functions. State whether the function on the left is Big-O, Big-Theta, Big-Omega, Little-O, or Little-Omega of the function on the right. More than one may apply per pair of functions. a. f(n) = 3n^3 + 4n + 12, g(n) = 8n^3 +3n^2-2n + 1 b. f(n) = 2, g(n) = e^-3n. c. f(n) = nlg^2(n), g(n) = n^2 lg(n) d. f(n) = 3nlg(5n^5), g(n) = 6n^2 + 8nlg(n) e. f(n) = lg(n^n), g(n) = lg(n!)