1. Diketahui fungsi g(x) = x^2 - x + 3 dan (f • g) (x) = 3x^2 - 3x + 4. Rumus fungsi f(x-2) adalah 2.

Bab Fungsi

Misalkan
x^2 - x + 3 = a
Maka
x^2 - x = a - 3

(f o g)(x) = f(g(x))
f(x^2 - x + 3) = 3x^2 - 3x + 4
f(a) = 3(x^2 - x) + 4
f(a) = 3(a - 3) + 4
f(x) = 3x - 9 + 4
f(x) = 3x - 5

f(x - 2) = 3(x - 2) - 5
f(x - 2) = 3x - 6 - 5
f(x - 2) = 3x - 11

G(x)= x2-x+3
(fog)(x)= 3x2-3x+4
F(x-2) (2)
(fog)(x)=3x2-3x+4
f(g(x))=3x2-3x+4
Misal t menjd x2-x+3 maka x2= t+3
F(x2-x+3)=3x2-3x+4
F(x2-x+3)= 3.x2-3(x)+4
F(t)=3(t+3)2-3(t+3)+4
F(t)=(3t2+9)2-3t+9+4
F(t)=9t+17-3t+4
F(t)=6t+22
F(x)6x+22
F(2)=6(2)+22
F(x) 12+22
F(x)34