Problem:

Let f= {(1,2), (2,3), (3,4), (4,1)} and g= {(1,3), (2,1), (3,4), (4,2),(5,1).

Find f-1 and g o f.

Is g one-to-one?

Explain

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- Nov 5th 2008, 06:55 AMtygracenOne-to-one relation.
Problem:

Let f= {(1,2), (2,3), (3,4), (4,1)} and g= {(1,3), (2,1), (3,4), (4,2),(5,1).

Find f-1 and g o f.

Is g one-to-one?

Explain - Nov 5th 2008, 12:59 PMclic-clac
You just have to look into what your numbers are transformed by the functions.

is permutation ( ), and it is a cycle.

, so , that is to say .

is a function from to .

. So , with the set notation. Just find the others elements of .

What can you say about and ? Then conclude. - Nov 6th 2008, 02:10 PMwhipflip15
EDIT: Don't worry. i was confused with why you used permutations.

- Nov 6th 2008, 03:30 PMPlato