Jika f(x)= 1/2x+1 dan(fog)(x)= x/2x+3, maka g(x) sama dengan

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