Question: Post an typed answer 3. Assume you have functions f and g such that f(n) is O(g(n)). For each of the following statements, decide whether

Post an typed answer Post an typed answer 3. Assume you have functions f and

3. Assume you have functions f and g such that f(n) is O(g(n)). For each of the following statements, decide whether you think it is true or false and give a proof or counterexample. (a) log2 f(n) is O(log2 g(n)) (b) 2) is 0( (c) f(n)2 is O(g(n)2). 4. Express the time complexity of the quick sort as a recurrence relation Explain why you obtain this relation. Solve the recurrence relation and provide the worst-case running time of quick sort accordingly

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