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Bab Fungsi Komposisi
Matematika SMA Kelas X

f(x) = 5x - 4 dan g(x) = 3x

(fog) (x) = f(3x)
(fog) (x) = 5(3x) - 4 
y = 15x - 4
15x = y + 4
x = (y + 4)/15
(fog)⁻¹ (x) = (x + 4)/15

(gof) (x) = g(5x - 4)
(gof) (x) = 3(5x - 4)
y = 15x - 12
15x = y + 12
x = (y + 12)/15
(gof)⁻¹ (x) = (x +12)/15

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Rumus :
Bentuk Linier
f(x) = ax + b —» f¯¹(x) = (x - b)/a

Bentuk Pecahan
f(x) = (ax + b)/(cx - d) —» f¯¹(x) = (-dx + b)/(cx - a)

↓ Pembahasan ↓
Fog(x) = f(g(x))
Fog(x) = 5(3x) - 4
Fog(x) = 15x - 4

Maka...
Fog¯¹(x) = (x + 4)/15

———————————
Gof(x) = g(f(x))
Gof(x) = 3(5x - 4)
Gof(x) = 15x - 12

Maka...
Gof¯¹(x) = (x + 12)/15