jika f (x) = 1/2x-1 dan (fog) (x) = x/3x-2 tent g(x)

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

Pembahasan :
Fog(x) = f(g(x))
1/(3x - 2) = 1/[2g(x) - 1]
2g(x) - 1= 3x - 2
2g(x) = 3x - 1
G(x) = (3x - 1)/2

Langsung aja y

(fog)(x) = f{g(x)}
x/(3x-2) = 1/(2g(x) - 1)
x(2g(x) - 1)= 3x - 2
2x.g(x) - x = 3x - 2
2x.g(x) = 4x - 2
g(x) = (4x - 2) / 2x

Semoga berguna +_+