Let A, B, X, and Y be nonempty sets. Prove/disprove the following statements. a. Let f: X→Y. If A CX, BCY, and f-¹[B] = { X f(x) E B}, then f[A] nB = f[Anf-¹[B]]. b. Let f: A B and g: B→ A. If fog is the identity function is on B, then f is surjective. c. Let f: AB and g: B→ A. If go f is the identity function i4 on A, then f is injective.

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