Injective
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(a) Show that if f: A →B is injective and E ⊆A, then f^-1(f(E))=E. Give an example to show that equality need not hold if f is not injective. (b) Show that if f: A →B is surjective and H ⊆B, then f(f^-1(H))=H . Give an example to show that equality need not hold if f is not surjective. | Numerade
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