Q17 of 99 Page 53

Let A = {1, 2, 3, 4} and f = {(1, 4), (2, 1) (3, 3), (4, 2)}. Write down (f o f).

To find: f o f


Formula used: f o f = f(f(x))


Given: (i) f = {(1, 4), (2, 1) (3, 3), (4, 2)}


We have,


fof(1) = f(f(1)) = f(4) = 2


fof(2) = f(f(2)) = f(1) = 4


fof(3) = f(f(3)) = f(3) = 3


fof(4) = f(f(4)) = f(2) = 1


Ans) f o f = {(1, 2), (2, 4), (3, 3), (4, 1)}


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