Let f(n) and g(n) be asymptotically positive functions. Prove or disprove each of the following conjectures. a. f(n) = (g(n)) implies g(n) = 2(f(n)). b. f(n) = O(g(n)) implies g(n) = O(f(n)). c. f(n) + g(n) = (min(f(n),g(n)))