jika f(x) = x-2 dan (g o f)(x) = x^2 + 14x + 33, maka g(x)?

f(x) = x - 2
(gof)(x) = x² + 14x + 33

g(f(x)) = x² + 14x + 33
g(x - 2) = x² + 14x + 33

misal m = x - 2
           x = m + 2

g(m) = (m + 2)² + 14(m + 2) + 33
g(m) = m² + 4m + 4 + 14m + 28 + 33
g(m) = m² + 18m + 65
ganti m menjadi x

g(x) = x² + 18x + 65