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Composite function 
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#1
Mar810, 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 


#2
Mar810, 09:58 AM

P: 2

i hope you will help me..



#3
Mar810, 10:50 AM

HW Helper
P: 1,371

what have you tried?



#4
Mar1010, 04:05 PM

P: 810

Composite function
Hint: define f(x) = y and g(y) = z.



#5
Mar1210, 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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