Composite function

  • Thread starter irvin.b
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  • #1
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Main Question or Discussion Point

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
 

Answers and Replies

  • #2
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i hope you will help me..
 
  • #3
statdad
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what have you tried?
 
  • #4
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Hint: define f(x) = y and g(y) = z.
 
  • #5
Landau
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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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