if g(x) =2x-2 dan (fog)(x) =12x^2-14x+13,(gof)(x)

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog) (x) = 12x² - 14x + 13
f(2x - 2) = 12x² - 14x + 13
f(2 . x/2 - 2) = 12 . (x/2)² - 14 . x/2 + 13
f(x - 2) = 12 . x²/4 - 7x + 13
f(x + 2 - 2) = 3 (x + 2)² - 7 (x + 2) + 13
f(x) = 3 (x² + 4x + 4) - 7x - 14 + 13
f(x) = 3x² + 12x + 12 - 7x - 1
f(x) = 3x² + 5x + 11

(gof) (x) = g(3x² + 5x + 11)
(gof) (x) = 2 (3x² + 5x + 11) - 2
(gof) (x) = 6x² + 10x + 22 - 2
(gof) (x) = 6x² + 10x + 20