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Assume f: A B and g: B C are functions. Which are defined? (1) f g (2) g f(3) both(4) neither

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Assume f: A B and g: B C are functions. What is the domain of g f ? (1) A (2) B (3) C (4) f (5) g (6) B A (7) B C (8) f g (9) g f (10 or 0) A B

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Assume f: A B and g: B C are functions. What is the codomain of g f ? (1) A (2) B (3) C (4) f (5) g (6) B A (7) B C (8) f g (9) g f (10 or 0) A B

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What is the next line of this proof? (1) Let a A. (2) Let (x,y) A. (3) Let a g f. (4) Let (x,y) g f. (5) Let a Dom(g f). (6) Let (x,y) Dom(g f).

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What is the next line of this proof? (1) Then a Dom(f).(2) Then (a, b) Dom(f) (3) Then a g f.(4) Then (a,b) g f. (5) Then a Dom(g f).(6) Then (a,b) Dom(g f). (7) Then a f.(8) Then (a,b) f (9) Then (a,b) A.(10) Then f(a) = b.

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