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F(x) = x² - 4
Maka f(x-2)
= (x-2)² - 4
= x² - 4x + 4 - 4
= x² - 4x
Maaf kalo salah
(fog)(x) = x²-4
f(x) = ax²+bx+c
(fog)(x) = f(g(x))
x²-4 = a(x+3)²+b(x+3)+c
x²-4 = ax²+6ax+9a+bx+3b+c
x²-4 = ax²+(6a+b)x+(9a+3b+c)
samakan koefisien n konstanta:
x²→ 1 = a
x → 0 = 6a+b
0 = 6+b
b = -6
c → -4 = 9a+3b+c
-4 = 9-16+c
c = -3
f(x) = x² - 6x - 3
f(x-2) = (x-2)² - 6(x-2) - 3
= (x²-4x+4) - 6x+12 - 3
= x² - 10x + 13