Let f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)). Wri

1.	Let f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)). Write down g o f.
Answer» To find: g o f Formula used: g o f = g(f(x)) Given: (i) f = {(1, 2), (3, 5), (4, 1)} (ii) g = {(1, 3), (2, 3), (5, 1)} We have, gof(1) = g(f(1)) = g(2) = 3 gof(3) = g(f(3)) = g(5) = 1 gof(4) = g(f(4)) = g(1) = 3 g o f = {(1, 3), (3, 1), (4, 3)}

Let f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)). Write down g o f.

Answer»

To find: g o f

Formula used: g o f = g(f(x))

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

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

We have,

gof(1) = g(f(1)) = g(2) = 3

gof(3) = g(f(3)) = g(5) = 1

gof(4) = g(f(4)) = g(1) = 3

g o f = {(1, 3), (3, 1), (4, 3)}