Diketahui fungsi f(x) = 2x + 5 dan g(x) = x +2 maka(fog)invers (x)

Bab Fungsi Komposisi
Matematika SMA Kelas X

(fog) (x) = f(x + 2)
(fog) (x) = 2(x + 2) + 5
(fog) (x) = 2x + 4 + 5
(fog) (x) = 2x + 9
y = 2x + 9
2x = y - 9
x = (y - 9)/2
(fog)⁻¹ (x) = (x - 9)/2

Fungsi Komposisi

f(x) = 2x + 5
g(x) = x + 2

(fog)(x)
= 2(x + 2) + 5
= 2x + 9

y = 2x + 9
2x = y - 9
x = (y - 9)/2

(fog)^-1 (x) = (x - 9)/2 ✔