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`

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

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

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

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

Let A={1,2,3,4},B={5,6,7} and f={( 1,6),(2,7),(3,5),(4,6)} . The f is :

Let f={(1,6),(2,5),(4,3),(5,2),(8-1),(10,-3)} and g={(2,0),(3,2),(5,6),(7,10),(8,12),(10,16)} . Find (i) dom (f+g) (ii) dom ((f)/(g)) .

Let A ={2,3,4,5} " and " ={7,9,11,13} and let f = {(2,7),(3,9) ,(4,11),(5,13)} Show that f is invertible and find f^(-1)

Let A ={1,2,3,4}. Let f : A to A " and " g : A to A defined by f : ={(1,4),(2,1),(3,3),(4,2)} and g = {(1,3),(2,1),(3,2),(4,4)} Find (i) g o f (ii) f o g (iii) f o f .

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2,5), (3, 6)} be a function from A to B. Based on the given information, f is best defined as: