diketahui fungsi f(x) = x²-2x+1 dan g(x) =x+3 .tentukan nilai fungsi f•g(-5)

Bab Fungsi Komposisi
Matematika SMA Kelas X

(fog) (x) = f (x + 3)
(fog) (x) = (x + 3)² - 2 (x + 3) + 1
(fog) (x) = x² + 6x + 9 - 2x - 6 + 1
(fog) (x) = x² + 4x + 4

(fog) (-5) = (-5)² + 4 . (-5) + 4
(fog) (-5) = 25 - 20 + 4

(fog) (-5) = 9

(fog)(x) = (x + 3)² - 2(x + 3) + 1
(fog)(x) = x² + 6x + 9 - 2x - 6 + 1
(fog)(x) = x² + 4x + 4
(fog)(-5) = (-5)² + 4(-5) + 4
(fog)(-5) = 9