Let `f:{1, 3,4 }->{1, 2, 5}`and `g:{1, 2, 5}->{1, 3}`be given by `f={( – InterviewSolution

InterviewSolution

1.	Let `f:{1, 3,4 }->{1, 2, 5}`and `g:{1, 2, 5}->{1, 3}`be given by `f={(1, 2), (3, 5), (4, 1)}`and `g={(1, 3), (2, 3), (5, 1)}`. Write down `gofdot`
Answer» Correct Answer - `(g o f) ={(1,3),(3,1),(4,3)}` Dom (g o f) =Dom (f ) ={1,2,4} (g o f)(1)=g{f(1)} =g(2)=3 (g o f) (3)=g{f(3)} =g(5)=1 (g o f)(4)= g{(f(4)}=g(1) =3 `:.` g o f ={(1,3),(3,1),(4,3)}

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