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Thread: Injective Function Composition

  1. September 15th 2008, 05:23 AM #1
    GoldendoodleMom
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    Injective Function Composition

    Suppose f:A-->B and g:B-->C are both injective.
    Prove: g composed with f :A-->C is injective
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  2. September 15th 2008, 05:44 AM #2
    ThePerfectHacker
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    Quote Originally Posted by GoldendoodleMom View Post
    Suppose f:A-->B and g:B-->C are both injective.
    Prove: g composed with f :A-->C is injective
    g(f(x)) = g(f(y)) \implies g(x) = g(y) \implies x=y
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