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4. (10 pts) Let f(n) and g(n) denote any two non-negative functions. Prove or disprove the following Justify your answer. Justify your answer. If you
4. (10 pts) Let f(n) and g(n) denote any two non-negative functions. Prove or disprove the following Justify your answer. Justify your answer. If you believe the statment is true, it must be true for any two functions f(n) and g(n), so you must argue the case from the definitions, justify each statement you make, organize your proof. ; if you believe the statement is false, it is enough to give a counter example.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb (a) If f(n) = 0(g(n)), does it follow that then g(n) = N2(f(n))? (b) If f(n) = (Of(f(n)))
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