Dik f(x)=2-2x² dan g(x)=x-3. Tentukan (fog) (x)

Fungsi Invers

f(x) = 2 - 2x² = 2(1 - x²)
g(x) = x - 3

(fog)(x)
= 2(1 - (x - 3)²)
= 2(1 - x² + 6x - 9)
= -2x² + 12x - 16

Dik.
f(x)=2-2x²
g(x)=x-3
Dit. (f o g) (x) = f (g(x))
= f(x-3) = 2 - 2 (x-3)²
= 2- 2 (x²-6x - 9)
= 2 - 2x² + 12x +18
= -2x²+12x+20