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