Apabila f(x)=1/2x-1 dan(f o g)(x)=x/3x-2 maka g-¹(x)=

Materi: Komposisi dan Invers Fungsi

Pembahasan di gambar

Fog(x) = x/(3x - 2)
F(g(x)) = x/(3x - 2)
1/[2g(x) - 1] = x/(3x - 2)
3x - 2 = 2xg(x) - x
4x - 2 = 2x g(x)
G(x) = (4x - 2)/2x
G(x) = (2x - 1)/x
y = (2x - 1)/x
xy = 2x - 1
2x - xy = 1
x(2 - y) = 1
x = 1/(2 - y)
g¯¹(x) = 1/(2 - x)