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Math Help - Help with composition proof

  1. #1
    Dax
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    Help with composition proof

    I am in discrete structures and have to solve this proof and have been having a fairly difficult time with it, probably easy but math was never my strong suit.

    If f: A--->B is a bijection and g: B--->C is injective, prove that g
    o f is injective.

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  2. #2
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    Quote Originally Posted by Dax View Post
    I am in discrete structures and have to solve this proof and have been having a fairly difficult time with it, probably easy but math was never my strong suit.
    If f: A--->B is a bijection and g: B--->C is injective, prove that g
    o f is injective.
    Start with g \circ f(a) = g \circ f(b).
    Does that mean  f(a) = f(b)? WHY?
    Finish.
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