Diketahui (fog)(x)=x-1/x+2 dan g(x)=1/x-2. Tentukan f(x)

F(g(x)) = (x-1) / (x+2)
f(1/(x-2)) = (x-1) / (x+2)
misal y = 1/(x-2)
y (x-2) = 1
x – 2 = 1/y
x = 1/y + 2
jadi :
f(y) = (1/y + 2) -1)) / (1/y + 2)+2))
f(y) = (1 – (y+2)/(y+2) / (1+2y+4)/y+2)
f(y) = (-y-1) / (y+2) / (2y+5) /( y+2)
f(y) = (-y-1) / (2y+5)
f(x) = (-x-1) / (2x+5)