Question: Please explain CLEARLY. Thank you :) 2. (15 points, 5 each) Given functions f and g where f(n) is 0(g(n)), determine if the following statements

Please explain CLEARLY. Thank you :) Please explain CLEARLY. Thank you :) 2. (15 points, 5 each)

2. (15 points, 5 each) Given functions f and g where f(n) is 0(g(n)), determine if the following statements are true or false. Support your answer via definition of big-O or counter-example. a) 2f(n)is (2g(n)) b) f(n) *g(n) is O(g(n)) c) n*f(n) is O(g(n)2)

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