3. [10 marks] Given two functions f(n) and g(n) such that f(n) = (g(n), decide for each of the following statements whether it can be inferred from the fact that f (n) - e(g(n)). Justify each answer, that is, prove the statement if your answer is yes, and provide a counterexample and argue why it is a counterexample if your answer is no. g(n)