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Could someone please check my work Show that if f is surjective, then D C f f-1(D)] - Let y E D . Since fis

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Could someone please check my work

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Show that if f is surjective, then D C f f-1(D)] - Let y E D . Since fis surjective, 3x ( A such that f(X) = y by definition 2.3.1. Since y ED, = xef (D)) by definition 2.3.13 for the preimage of D in A. -y=f(x)Ef f-(D) by definition 2.3.13 for the image of f"(D) in B. Since y ED and y e f[f-1(D)]. = DCf f (D) by definition 2. 1.3

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