Diketahui infers (g o f)(x) = 1/6(1-x). Jika f(x) = 6x - 1 maka rumus fungsi g(x + 1) = ....... A. x / x + 1 B. x/ x + 2 C. x - 1 / x + 2 D. x + 1 / x -2 E. x +

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Pembahasan :
Gof¯¹(x) = 1/6(1 - x)
x = 1/6(1 - y)
6x = 1 - y
y = 1 - 6x
Gof(x) = 1 - 6x
G(f(x)) = 1 - 6x
G(6x - 1) = 1 - 6x
G(6x - 1) = -(6x - 1)
G(x) = -x
G(x + 1) = -(x + 1)
G(x + 1) = -x - 1