dik : f(x) =3x + 4 dan g(x) =x² + 1.tentukan a. (fog) (x) b. (gof)(x)

Kelas 10 Matematika
Bab Fungsi Komposisi

f(x) = 3x + 4
g(x) = x² + 1

a] (fog) (x) = f(x² + 1)
(fog) (x) = 3 (x² + 1) + 4
(fog) (x) = 3x² + 3 + 4
(fog) (x) = 3x² + 7

b] (gof) (x) = g(3x + 4)
(gof) (x) = (3x + 4)² + 1
(gof) (x) = (3x)² + 2 . 3x . 4 + 4² + 1
(gof) (x) = 9x² + 24x + 16 + 1
(gof) (x) = 9x² + 24x + 17