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={(a,b), (v,a), (w,c)}. Show that f and g both are biijections and find fog and gof.

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={(a,b), (v,a), (w,c)}. Show that f and g both are biijections and find fog and gof.

Matching exercise

Match the items on the right to the items on the left.

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