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