please answer only g Please show work. Thank you

Let f(n) and g(n) be asymptotically positive functions. Prove or disprove each of the following conjectures. a. f(n)- O(g (n)) implies g(n)- O((n) b. f(n) + g(n)-(min(f(n), g(n)) c. f(n) - O(g(n) implies Ig(f (n)) - O(lg(g(n)), where lg(g(n)) 21 and f(n) 2 1 for all sufficiently large n. f. f(n) 0(g(n)) implies g(n)-Q(f(n)). g, f(n) = (f(n/2))