f(x)=x2-2x+3 g(x)=x+3 carilah (fog) (x) dan (gof) (x)

Kelas 10 Matematika
Bab Fungsi Komposisi

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

2] (gof) (x) = g(x² - 2x + 3)
(gof) (x) = x² - 2x + 3 + 3
(gof) (x) = x² - 2x + 6

(f o g)(x) = f( g(x) ) 
               = f( x +3 )
               = (x+3)² - 2(x+3) + 3
               = x² + 6x + 9 - 2x - 6 + 3
               = x² + 4x + 6 
(g o f)(x) = g( f(x) ) 
               = g( x² - 2x + 3 )
               = x² - 2x + 3 + 3
               = x² - 2x + 6