f(x) = 3x-1 f°g(x)=6x-1 tentukan g-¹(x)

Bab Fungsi
Matematika SMA Kelas XI

(fog) (x) = 6x - 1
3 . g(x) - 1 = 6x - 1
3 . g(x) = 6x - 1 + 1
g(x) = 6x : 3
g(x) = 2x

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

diketahui:
f(x) = 3x - 1
f°g(x) = 6x - 1

ditanya:
g-¹(x) = ?

jawab:
f°g(x) = f (g(x))
6x - 1 = 3 (g(x)) - 1
6x - 1 + 1 = 3 (g(x))
6x = 3 (g(x))
g(x) = 6x : 3
g(x) = 2x

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

jadi g-¹(x) = 1/2 x

semoga membantu ya^^