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)}