Let `A={a ,\ b ,\ c}` , `B={u\ v ,\ w}` and let `f` and `g` be two functions from `A` to `B` and from `B` to `A` respectively defined as: `f={(a ,\ v),` `(b ,\ u),\ (c ,\ w)}` , `g={(u ,\ b),\ (v ,\ a),\ (w ,\ c)}dot` Show that `f` and `g` both are bijections and find `fog` and `gofdot`

Explanation

Given: `A={a,b,c},B{u,v,w}`
and


`f:A→B` and `g:B→A` defined by


`f={(a,v),(b,u),(c,w)}` and


`g={(u,b),(v,a),(w,c)} `


...