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Consider as f(1)=a,f(2)=b,f(3)=c, g:[a...

Consider as `f(1)=a,f(2)=b,f(3)=c`,
`g:[a,b,c]rarr` {apple, ball, cat}
Defined as `f(1)=a,f(2)=b,f(3)=c,`
g(a) = apple, g(b) = ball, g(c ) = cat
Show that f, g and gof are invertible.
Find `f^(-1),g^(-1)` and `(gof)^(-1)` and show that :
`(gof)^(-1)=f^(-1)og^(-1)`.

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