Question

Let = {(1,4), (2,5), (3,5)}and = {(4,1), (5,2), (6,4)}. Find ∘ . Can you find ∘ ​

Answer 1

Answer:

Correct option is

A

fog={(2,5),(5,2),(1,5)}

Given that, f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)}

gof(1)=g{f(1)}=g(2)=3

gof(3)=g{f(3)}=g(5)=3gof(3)=g{f(3)}=g(5)=1

gof(4)=g{f(4)}=g(1)=3

gof={(1,3),(3,1),(4,3)}

Now fog(2)=f{g(2)}=f(2)=5

fog(5)=f{g(5)}=f(1)=2

fog(1)=f{g(1)}=f(3)=5

fog={(2,5),(5,2),(1,5)}