Question

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

Answer 1

f= {(1,2), (3,5), (4,1)}

g = {(I, 3), (2, 3), (5, 1)}

(f) = 2, g(2) = 3 ⇒ gof(1) = 3

f(3) = 5, g(5) = 1 ⇒ gof(3) = 1

f(4) = 1, g(1) = 3 ⇒ gof(4) = 3

⇒ gof = {(1,3), (3,1), (4, 3)].