Question

1.
Let X = (1,2,3,4), verify which of the following relations are functions from X to X
i) f = {(1,1), (2,3), (3,4), (4,1)}
ii) f. = {(2,1),(3,4), (1,4),(4.4)}.​

Answer 1

(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.

∴fof={(1,2),(2,4),(3,3),(4,1)}.