Let f:{1,2,3} to {a,b,c} be one-one and ...

Let `f:{1,2,3} to {a,b,c}` be one-one and onto function given by `f (1) =a, f (2) =b and f (3) =c.` Show that there exists a function `g : {a,b,c} to {1,2,3}` such that gof `=I _(x) and ` fog `=I _(y),` where, `X = {1,2,3} and Y={a,b,c}.`

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The correct Answer is:

`I _(y)`

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