`f={(1, 2),(3,-2),(-1, 1)}andg={(2, 3),(-2, 1),(1, 3)}` Prove that `(gof)` and `(fog)` are both defined. Also find `(gof)` and `(fog)` as sets of ordered pairs

Let the functions f and g be defined by, f={(1,2),(3,-2),(-1,1)} and g={(2,3),(-2,1),(1,3)} Prove that , (g o f) and ( f o g) are both defined . Also find (g o f) and (f o g) 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.

If the function 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 set 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={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} and ={(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)} . Show that gof and fog are both defined. Also, find fog and gofdot

Let f={(1,2),(3,4),(2,2)} and g={(2,1),(,3,1),(4,2)} . Find gof and fog.

The functions f and g are defined as follow : f = {(1,2),(3,5),(4,1) } and g = {(2,3),(5,1),(1,3)} . Find the range of f and g . Also find the composition function fog and gof .

Let f = ((1,3), (2,1),(3,2)) and g = ((1,2), (2,3),(3,1)) , then find (gof) (1) and (fog) (2).

Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof and fog if possible . Test whether fog =gof.