Computer Science homework help

This is intro to abstract mathematicsPart 1Let f(x) = x2. Determine the following sets (no proof needed): f({1,-1}), f ?1((0,1)), f( f ?1({ -1})), and f-1(f({1}))Part 2Let f: X ? Y be a function and A?X. By definition it is always true that if x?A then f(x) ? f(A). Prove or disprove: If x?A then f(x) ? f(A).Part 3For any function f, prove that f(Ø) = Ø and f ?1(Ø) = Ø