f(x)=2x²+5 dan g(x) =x+1,maka fog (1)

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog) (x) = f (x + 1)
(fog) (x) = 2(x + 1)² + 5
(fog) (1) = 2 (1 + 1)² + 5
(fog) (1) = 2 . 4 + 5
(fog) (1) = 8 + 5
(fog) (1) = 13

[tex]fog(x) = f(g(x)) \\ fog(x) = 2 (x+1)^{2}+5 \\ fog(x) = 2( x^{2}+2x+1)+5 \\ fog(x) = 2x^{2}+4x+2+5 \\ fog(x) = 2x^{2}+4x+7 \\ Maka \\ fog(1) = 2(1^{2})+4(1)+7 \\ fog(1) = 2+4+7 \\ fog(1) = 13 [/tex]