Then the composition of
f and g, denoted by gof, is defined as the function gof : A → C given by
gof (x) = g(f (x)), ∀  x ∈ A Fig 1 5
Example 15 Let f : {2, 3, 4, 5} → {3, 4, 5, 9} and g : {3, 4, 5, 9} → {7, 11, 15} be
functions defined as f (2) = 3, f(3) = 4, f(4) =  f(5) = 5 and g (3) = g (4) = 7 and
g (5) =  g(9) = 11 Find gof