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Let A = {1,2,3,4} and f : A to A satisf...

Let `A = {1,2,3,4} and f : A to ` A satisfy `f (1) =2, f(2)=3, f(3)=4, f (4)=1.` Suppose `g:A to A` satisfies `g (1) =3 and fog = gof , ` then g =

A

`{(1,3), (2,1), (3,2), (4,4)}`

B

`{(1,3), (2,4),(3,1),(4,2)}`

C

`{(1,3),(2,2),(3,4),(4,3)}`

D

`{(1,3),(2,4),(3,2),(4,1)}`

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The correct Answer is:
B
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