CORRECT answer is OPTION 2. f(x) = x is my friendP(x) = x is perfectSo, 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)).