F(x) =2x-1 dan g(x) =1-2x Carilah fungsi komposisi berikut: A. (F o G)(x) B. (G o F)(x)

= (f(g(x))=(f(1-2x)=2(1-2x)=2-4x

Fungsi Komposisi

Soal
f(x) = 2x - 1
g(x) = 1 - 2x
maka
a) (F o G)(x)
b) (G o F)(x)

Penyelesaian
a) (F o G)(x) = F(g(x)
(F o G)(x) = F(1 - 2x)
(F o G)(x) = 2(1 - 2x) - 1
(F o G)(x) = 2 - 4x - 1
(F o G)(x) = 1 - 4x

b) (G o F)(x) = G(f(x)
(G o F)(x) = G(2x - 1)
(G o F)(x) = 1 - 2(2x - 1)
(G o F)(x) = 1 - 4x - 2
(G o F)(x) = 4x - 1