composite function


by irvin.b
Tags: composite, function
irvin.b
irvin.b is offline
#1
Mar8-10, 09:57 AM
P: 2
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
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irvin.b
irvin.b is offline
#2
Mar8-10, 09:58 AM
P: 2
i hope you will help me..
statdad
statdad is offline
#3
Mar8-10, 10:50 AM
HW Helper
P: 1,344
what have you tried?

Tac-Tics
Tac-Tics is offline
#4
Mar10-10, 04:05 PM
P: 810

composite function


Hint: define f(x) = y and g(y) = z.
Landau
Landau is offline
#5
Mar12-10, 05:09 AM
Sci Advisor
P: 905
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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