Given f(x) = 999x^2 + 300xlogx + 478x + 5001logx + 2017 and g(x) = x^2 + 1, prove that f(x) = (g(x)). a. Prove that f(x) = O(g (x)). b. Prove that f(x) = Ohm(g(x)). c. Prove that f(x) = (g(x))