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Let A={a ,\ b ,\ c} , B={u\ v ,\ w} and ...

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`

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