left f:A->B and let D1, D2, and D be subsets of B prove or disprove f^-1(D1UD2)=f^-1(D1)Uf^-1(D2)...

Question

Question

let f:A->B and let D1, D2, and D be subsets of A. Prove or Disprove F^-1(D1UD2)=F^-1 (D1)UF^-1(D2)

left f:A->B and let D1, D2, and D be subsets of B
prove or disprove
f^-1(D1UD2)=f^-1(D1)Uf^-1(D2)

does the proof change when it says subset of B vs subset of A

Answer 1

Answer #1

Need to prove f(DUD) = f(D) U f(D2) f Lot xe (DVD, ) 6 DO D) = f(x) € D, or fame D2 = Xe f (D) ON XE f (D2) > XE f (DU S

Answer 2

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