diket. f(x)=x-4 dan g(x)=x2+6x.tentukan (GoF)(x)

f(x) = x - 4
g(x) = x² + 6x

Ditanya (g o f) (x)

Jawaban

(g o f) (x) = g(f(x)) = g(x-4)

(g o f) (x) = (x - 4)² + 6(x -4)

(g o f) (x) = x² - 8x + 16 + 6x - 24

(g o f) (x) = x² - 2x - 8

Mapel Matematika
Bab Komposisi Fungsi

F(x) = x - 4
G(x) = x^2 + 6x

Gof(x) = (x - 4)^2 + 6(x - 4)
= x^2 - 8x + 16 + 6x - 24
= x^2 - 2x - 8