ASYMPTOTIC GROWTH

Question

Consider the case: f(n) = O(g(n)). Then, following two statements are claimed to be inferred from the above case. 
Statement I: 2^f(n) = O(2^g(n))
Statement II: 2^g(n) = O(2^f(n)) 

Choose the correct option from the given.

Both correct.

Both incorrect

S1 correct, S2 false

S2 false,S1 correct

Comments

•  $f(n) = 2n$ and $g(n) = n$ $\rightarrow$ statement $1$ false.
•  $f(n) = n$ and $g(n) = 2n$ $\rightarrow$ statement $2$ false.

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Thanx a lot.

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Plz explain