Let `A ={1,2,3,4}. ` Let ` f : A to A " and " g : A to A` defined by `f : ={(1,4),(2,1),(3,3),(4,2)}` and `g = {(1,3),(2,1),(3,2),(4,4)}` Find (i) g o
Let `A ={1,2,3,4}. ` Let ` f : A to A " and " g : A to A`
defined by `f : ={(1,4),(2,1),(3,3),(4,2)}` and
`g = {(1,3),(2,1),(3,2),(4,4)}`
Find (i) g o f (ii) f o g (iii) f o f .
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Correct Answer - (i) ( g o f) ={(1,4),(2,3),(3,2) ,(4,1}
(ii) (f o g) ={(1,3),(2,4),(3,1),(4,2)}
(iii) (f o f) = {(1,2) ,(2,4) ,(3,3) ,(4,1)}
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