f(x)=2x-4 dan g(x)=3x+1 Tentukan nilai fungsi invers dari (fog)(-2)

fog(x) = f(g(x))
fog(x) = f(3x+1)
fog(x) = 2(3x+1)-4
fog(x) = 6x+2-4
fog(x) = 6x-2
y = 6x-2
y+2 = 6x
x = (y+2)/6
invers fog(y) = (y+2)/6
invers fog(x) = (x+2)/6
invers fog (-2) = (-2+2)/6
= 0/6
= 0

semoga membantu....

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

Pembahasan :
F(x) = 2x - 4
G(x) = 3x + 1

Fog(x) = f(g(x))
Fog(x) = 2(3x + 1) - 4
Fog(x) = 6x + 2 - 4
Fog(x) = 6x - 2
Fog'(x) = (x + 2)/6

Fog'(-2) = (-2 + 2)/6
Fog'(-2) = 0