SOLUTION: Inverse of the permutations f =( 1,4,2 ) is?

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Question 976410: Inverse of the permutations f =( 1,4,2 ) is?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
The permutation f = (1,4,2) takes 1 to 4, then 4 to 2, and 2 to 1

(The reason it takes 2 to 1 is because the last number in
a cycle is considered to go to the first number) 

Its inverse is what takes each back to what it was before.

So the inverse takes 4 back to 1, 1 back to 2, and 2 back to 4.

f-1 = (4,1,2) which is the same as (1,2,4) 

Edwin