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Prove mathematically that if f (n) O(g(n)), then f (n) O(g(n) 2 + c), for any constant c 0. Illegible drawing or handwriting will be

Prove mathematically that if f (n) O(g(n)), then f (n) O(g(n)² + c), for any constant c 0.

Illegible drawing or handwriting will be marked as wrong.

Thank you.

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