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Homework Help: Some composition stuff.

  1. Oct 1, 2012 #1

    Zondrina

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    1. The problem statement, all variables and given/known data

    Can't believe I forgot how to do this...

    Prove if fog = x and goh = x then f=h for all x.

    2. Relevant equations

    Obviously the associativity of composition here.

    3. The attempt at a solution

    So we know :

    fog = goh
    fogoh = gohoh
    fo(goh) = (goh)oh

    I've forgotten how to do the rest here.
     
  2. jcsd
  3. Oct 1, 2012 #2

    Zondrina

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    Any pointers at all?
     
  4. Oct 1, 2012 #3

    jbunniii

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    [itex]h = (f \circ g) \circ h = \ldots[/itex]
     
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