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Composite function

  1. Mar 8, 2010 #1
    i really need to see the proof of this theorem:

    if f and g are bijective then the inverse of (g o f) = inverse of f o inverse of g
     
  2. jcsd
  3. Mar 8, 2010 #2
    i hope you will help me..
     
  4. Mar 8, 2010 #3

    statdad

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    Homework Helper

    what have you tried?
     
  5. Mar 10, 2010 #4
    Hint: define f(x) = y and g(y) = z.
     
  6. Mar 12, 2010 #5

    Landau

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    Science Advisor

    Just compute (g o f) o (g o f)^-1 and (g o f)^-1 o (g o f) and see that they both give you the identity.
     
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