Question: Let g : A B and f : B C be two functions. Prove or disprove the followings: (a) if f and g are surjective,

Let g : A B and f : B C be two functions. Prove or disprove the followings:

(a) if f and g are surjective, then (f g) is surjective.

(b) if f and g are injective, then (f g) is injective.

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