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Injective and Surjective Functions

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RK4
 
Reply Thu 2 Mar, 2006 06:48 pm
Let f : B --> C, g : A --> B, and h : A --> B be functions satisfying

f dot g = f dot h.

Prove or disprove:

(a). If f is surjective, then g = h.

(b). If f is injective, then g = h.
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