Solution

The correct answer is option 2.

Key Points

f(x) = x is my friend
P(x) = x is perfect
So, they are asking about SOME. Finally, outer most parentheses will get SOME ∃x.
They are given conditions like NOT perfect. So,we get  ¬ p(x).
The final condition is ∃x (f(x) ∧ ¬ p(x))

∴ Hence the correct answer is ∃x (f(x) ∧ ¬ p(x)).