Composite function

1. Mar 8, 2010

irvin.b

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. Mar 8, 2010

irvin.b

i hope you will help me..

3. Mar 8, 2010

what have you tried?

4. Mar 10, 2010

Tac-Tics

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

5. Mar 12, 2010

Landau

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.