Home
Class 12
MATHS
Let f={(3,\ 1),\ (9,\ 3),\ (12 ,\ 4)} an...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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)

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

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

Let A = {1,2,3,4}, B = { 1,5,9,11,15,16} and f = {(1,5), (2,9),(3,1),(4,5),(2,11)}. Then ,

If A = ({:(9, -7), (-4, 3):}) " and B"=({:(-3, -7),(-4, -9):}) , then find AB and hence find A^(-1) .

If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write down pairs in the mapping fog and gof.