Diketahui (fog) (x) = x+1 dan f(x-2)=(x-1)/(x-2) tentukan nilai g-1(2)

misal a = x - 2
x = a + 2
f (a) = (a + 2 - 1)/(a + 2 - 2)
f (a) = (a + 1)/a
f (x) = (x + 1)/x

(f • g)(x) = x + 1
f (g(x)) = x + 1
(g(x) + 1)/g(x) = x + 1
g(x) + 1 = g(x) . x + g(x)
g(x) = 1/x

g(x) = 1/x
y = 1/x
x = 1/y
g-1(x) = 1/x
g-1(2) = ½