Diketahui f(x)=x^2-6x+9 dan g(x)=x^2+1. (fog)(-2)=...

(fog)(-2) = 4

Pembahasan

Diketahui fungsi f(x) = x^2 - 6x + 9 dan g(x) = x^2 + 1.
Kita perlu mencari nilai (fog)(-2).

Langkah 1: Cari nilai g(-2).
g(-2) = (-2)^2 + 1
g(-2) = 4 + 1
g(-2) = 5

Langkah 2: Substitusikan hasil g(-2) ke dalam f(x).
(fog)(-2) = f(g(-2))
(fog)(-2) = f(5)
(fog)(-2) = (5)^2 - 6(5) + 9
(fog)(-2) = 25 - 30 + 9
(fog)(-2) = -5 + 9
(fog)(-2) = 4