Question: Let f ( n ) and g ( n ) be asymptotically positive functions. Prove or disprove each of the following conjectures. f ( n

Let f(n) and g(n) be asymptotically positive functions. Prove or disprove each of the following conjectures.
f(n)=O(g(n)) implies g(n)=O(f(n))
f(n)+g(n)=(min(f(n),g(n)))
f(n)=(f(n2))
f(n)=O(g(n)) implies g(n)=(f(n))
f(n)=O((f(n))2)
Let f(n) and g(n) be asymptotically positive functions. Prove or disprove

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