Diketahui f(x)= 3x-12 dan g(x)=2×+4. Tentukan g-1 o f-1 (x)

soal tsb =fog^-1(x) cari dulu fog(x)=3(2x+4)-12= 6x+12-12=6x jadi  inversnya adlah X/6

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog)⁻¹ (x) = g⁻¹ o f⁻¹ (x)

(fog) (x) = f(2x + 4)
(fog) (x) = 3(2x + 4) - 12
(fog) (x) = 6x + 12 - 12
y = 6x
x = y/6
(fog)⁻¹ (x) = g⁻¹ o f⁻¹ (x) = x/6