Question: Question 3. Consider a function f : A B. Prove the following statements: (a) f is injective iff X = f^1 (f(X)) for all X

Question 3. Consider a function f : A B. Prove the following statements:

(a) f is injective iff X = f^1 (f(X)) for all X A. (b) f is surjective iff f(f^1 (Y )) = Y for all Y B.

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