If `f:{5,\ 6}->{2,\ 3}` and `g:{2,\ 3}->{5,\ 6}` are given by `f={(5,\ 2),\ (6,\ 3)}` and `g={(2,\ 5),\ (3,\ 6)},` find `fog` .

Explanation

`f:{5,6} rightarrow{2,3}` and `g:{2,3} rightarrow{5,6}` are given by `f={(5,2),(6,3)}` and `g={(2,5),(3,6)}`


As,



`f circ g(2)=f(g(2))=f(5)=2 `


`f circ g(3)=f(g(3))=f(6)=3`



So,


fog `:{2,3} rightarrow{2,3}` is defined as


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