If the functions `f` and `g` are given by
`f = {(1, 2), (3, 5), (4, 6)}`
`g = {(2, 3), (5, 1), (6, 3)}`, then find `fog` and `gof`.

Explanation

It is given that
`f(1) = 2; f(3) = 5; f(4) = 6`
and `g(2) = 3; g(5) = 1; g(6) = 3`
`fog(2) = f{g(2)} = f(3) = 5`
`fog (5) = f{g(5)} = f(1) = 2`
`fog (6) = f{g(6)} = f(3) = 5`
`implies fog = {(2, 5), (5, 2), (6, 5)}`
Similarly,
`gof = {(1, 3), (3, 1), (4, 3)}.`