Question: Show that if f : A B and G, H are subsets of B, then f-1(G H) = f-1 (G) f-1(H) and

Show that if f : A → B and G, H are subsets of B, then f-1(G ⋃ H) = f-1 (G) ⋃ f-1(H) and f-1 (G ∩ H ) = f-1 (G) ∩ f-1(H).

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