jika f(x) = 1/2x-1 dan (f o g)(x) = x/3x-2 maka g(x) sama dengan?

[tex](f o g)(x) = \frac{x}{3x} -2[/tex]

[tex]f(g(x)) = \frac{x}{3x} -2[/tex]

[tex] \frac{1}{2} (g(x))-1 = \frac{x}{3x} -2[/tex]

[tex] \frac{1}{2} (g(x)) = \frac{x}{3x} -2 + 1[/tex]

[tex] \frac{1}{2} (g(x)) = \frac{x}{3x} -1[/tex]

[tex] (g(x)) = \frac{\frac{x}{3x} -1}{1/2} [/tex]

[tex] (g(x)) = \frac{x}{3x} -1}* (\frac{2}{1}) [/tex]

[tex] g(x) = \frac{2x}{3x} -2}[/tex]