Jika f(x) = x + 2 dan g(x) = 3x kuadrat + 4x + 1 maka carilah (gof)((x)......

Materi : Komposisi Fungsi (Fungsi Bersusun)
Kelas : 2 Sma

Soal
f(x) = x + 2
g(x) = 3x² + 4x + 1
(gof)(x) = ...

Penyelesaian
(gof)(x) = g(f(x))
(gof)(x) = g(x + 2)
(gof)(x) = 3(x + 2)² + 4(x + 2) + 1
(gof)(x) = 3(x² + 4x + 4) + 4(x + 2) + 1
(gof)(x) = 3x² + 12x + 12 + 4x + 8 + 1
(gof)(x) = 3x² + 16x + 21