The functions f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} are defined as f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. gof(1) = g[f(1)] = g(2) = 3 [as f(1) = 2 and g(2) = 3] gof(3) = g[f(3)] = g(5) = 1 [as f(3) = 5 and g(5) = 1] gof(4) = g[f(4)] = g(1) = 3 [as f(4) = 1 and g(1) = 3] ∴ gof = {(1, 3), (3, 1), (4, 3)}