3. Let A be a finite set. In this exertise functions f, g will be of type g: A→A and f: A → A. (a) For A = {1,2,3,4} define functions f and g, such that f is surjective and g is injective. (b) From (a) write down functions fog and gof, and determine whether they are surjective and/or injective. (c) Independently from the choices of (a), prove that function f is surjective if and only if it is injective.

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Q: 3. Let A be a finite set. In this exertise functions f, g will be of type g: A → A and ƒ: A → A. (a)…

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Q: Let f : A → B and g : B C be surjective functions. Prove or disprove whether gof is surjective.

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A: 5. Given: g1:ℤ→ℤ defined by g1=x,y|y=x 6. Given: g2:ℤ→ℤ+ defined by g2=x,y|y=3x+1 one to one:  f:A→B…

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