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

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

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

Answer»

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

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