Let `f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)}` and g `={(1,\ 3),\ (3,\ 3),\ (4,\ 9),\ ` `(5,\ 9)}` . Show that `gof` and `fog` are both defined. Also, find `fog` and `gofdot`

Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and g ={(1,\ 3),\ (3,\ 3),\ (4,\ 9),\ (5,\ 9)} find fog and gofdot

Let f={(3,1),(9,3),(12 ,4)} and g={(1,3),(3,3),(4,9),(5,9)}dot Show that gofa n dfog are both defined. Also, find foga n dgofdot

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

Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(02 ,-4),(-3,-6),(4,8)}dot Show that gof is defined while fog is not defined. Also, find gofdot

If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(2,\ 3),\ (5,\ 1),\ (1,\ 3)} , find range of f and g . Also, write down fog and gof as sets of ordered pairs.

If the functions f and g are given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(2,\ 3),\ (5,\ 1),\ (1,\ 3)} , find range of f and g . Also, write down fog and gof as sets of ordered pairs.

Let f={(1,-1),(4,-2),(9,-3),(16 ,4)} and g={(-1,-2),(-2 ,-4),(-3,-6),(4,8)}dot find gofdot

Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,\ 2,\ 5}->{1,\ 3} be given by f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)} and g={(1,\ 3),\ (2,\ 3),\ (5,\ 1)} . Write down gofdot

If f={(1,4),(2,5),(3,6)} and g={(4,8),(5,7),(6,9)} , then gof is

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A^(prime) .