jika f(x)=1/x-1 dan g(x) =x-2 maka (gof)-1 (x)=...

f(x) = 1/(x - 1) dan g(x) = x - 2
gof(x) = g(f(x)) = g(1/(x - 1)) = (1/(x - 1)) - 2
= (1 - 2(x - 1))/(x - 1)
gof(x) = y = (-2x + 3)/(x - 1)
y(x - 1) = -2x + 3
xy - y = -2x + 3
xy + 2x = y + 3
x(y + 2) = y + 3
x = (y + 3)/(y + 2)
gof^-1(x) = (x + 3)/(x + 2)