If the mappings f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, write f o g.

Question

Philoid · Accepted Answer

We have,

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

Domain of g = {2,5,1}

Now, fog(2) = f(g(2)) = f(3) = 5

fog(5) = f(g(5)) = f(1) = 2

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

∴ fog = {(2, 5), (5, 2), (1,5) }