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  3. 1 be aware of curly brackets let fx x2...

Question: 1 be aware of curly brackets let fx x2...

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1.) (Be aware of curly brackets) Let 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}))

2.) Let 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)

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