Let A = {1, 2, 3}, B = {4, 5} and C = {5, 6}. Let f : A → B and g :

1.	Let A = {1, 2, 3}, B = {4, 5} and C = {5, 6}. Let f : A → B and g : B → C be defined as f(1) = 4, f(2) = 5, f(3) = 4, g(4) = 5 and g(5) = 6. Find gof.
Answer» Obviously ‘gof’ function is defined as gof : A → C such that gof(1) = g(f(1)) = g(4) = 5 gof(2) = g(f(2)) = g(5) = 6 gof(3) = g(f(3)) = g(4) = 5 Hence, gof : A → C is given by gof = {(1, 5), (2, 6), (3, 5)}

Let A = {1, 2, 3}, B = {4, 5} and C = {5, 6}. Let f : A → B and g : B → C be defined as f(1) = 4, f(2) = 5, f(3) = 4, g(4) = 5 and g(5) = 6. Find gof.

Answer»

Obviously ‘gof’ function is defined as

gof : A → C such that

gof(1) = g(f(1)) = g(4) = 5

gof(2) = g(f(2)) = g(5) = 6

gof(3) = g(f(3)) = g(4) = 5

Hence, gof : A → C is given by gof = {(1, 5), (2, 6), (3, 5)}