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1. (15 pts total) Prove or disprove each of the following claims, where f(n) and g(n) are functions on positive values. (a) f(n) = O(g(n))
1. (15 pts total) Prove or disprove each of the following claims, where f(n) and g(n) are functions on positive values.
(a) f(n) = O(g(n)) implies g(n) = (f(n))
(b) f(n) = O(g(n)) implies 2^f(n) = O(2^g(n))
(c) f(n) = O((f(n))^2)
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