F(X)= 1/2x-1 dan (fog)(x)= x/3x-2, maka nilai g(x) adalah

(fog)(x) = f(g(x))
=1/2(x/3x-2)-1
=(x/6x-4)-1
=(x/6x-4) - (6x-4/6x-4)
=4-5x/6x-4

Diket = 
f(x) = 1/2x-2
(f o g) (x) = x/3x-2
f(g(x)) = x/3x-2

Ditanya 
g(x)

Dijawab

f(g(x))          = 3 / 3x - 2
1/2 (g(x)) -1 = x / 3x - 2
1/2 (g(x))     = x / 3x - 2 + 1
1/2 (g(x))     = 4x - 2 / 3x - 2
  g(x)           = 4x - 2 / 3x -2 . 2
  g(x)           = 8x -4 / 3x - 2