Characterize the rate of growth of each function f below by giving a function g such that f = (g). The function g should be one of the functions in the table of common functions. (a) f(n) = n + 3n - 4(b) f(n) = 2:31 (c) f(n) = 21 +31(d) f(n) = 7(log log n) + 3(log n) + 12n(e) f(n) = 9(n log n) + 5(log log n) + 5 (f) f(n) = n.log37 n (g) f(n) = n21 + (1.1) (h) f(n) = 23n + n3 - 2