answer is B but can someone help me to how to solve these questions with 100% accuracy because i'm always trying to find counterexample and don't know a formal way to solve

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f(n)=O(g(n))

Which of the following is True?

- 2^f(n)=O(2^(g(n))
- log(f(n))=O(log(g(n))
- f(n)=O(f(n/2))
- f(n)=O(f(n)^2)

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answer is B but can someone help me to how to solve these questions with 100% accuracy because i'm always trying to find counterexample and don't know a formal way to solve

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