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`

Explanation

As the given function `f:1,3,5->1,2,5` and `g:1,2,5->1,3` are defined as

`f=(1,2),(3,5),(4,1)` and `g=(1,3),(2,3),(5,1)`

`gof(1)=g(f(1))=g(2)=3` as `[f(1)=2 and g(2)=3]`

`gof(3)=g(f(3))=g(5)=1` as `[f(3)=5` and` g(5)=1]`

`gof(4)=g(f(4))=g(1)=3` as `[f(4)=1` and `g(1)=3]`

Therefore, `gof=(1,3),(3,1),(4,3)`