jika f(x)=x+2 dan g(x)=15 per x, maka tentukan nilai x jika (f pangkat min 1 o g pangakat min 1)(x)=1

fungsi invers dan komposisi

(f⁻¹og⁻¹)(x)= 1 --> (gof)⁻¹(x)= 1 --> (gof)(1)= x
.
x = (gof)(1)
x = g{f(1)} = g (1+2) = g(3)= 15/3 = 5
x = 5

(f-¹o g-¹)(x) = 1
(f-¹(g-¹(x) = 1
(f-¹(15/x) = 1

Misal,
f-¹ (x) = y
y = (x + 2)
y = x - 2

15/x - 2 = 1
15/x = 3
x = 15/3
x = 5