Jika f(x)= x-2 dan g(x)=2x²+3x+10 tentukan nilai (gof)(x)

Diket :
f(x) = x – 2
g(x) = 2x² +3x + 10

tanya : (gof)(x)??

jawab :

(gof)(x) = g(f(x))
= 2(x – 2)² + 3(x – 2) + 10
= 2(x² -4x +4) + 3x -6 + 10
= 2x² -8x +4 + 3x – 6 + 10
= 2x² -8x +3x +4 -6 +10
= 2x² -5x +8

semoga membantu 🙂
✖✖✖✖✖✖✖✖✖✖✖✖✖✖✖
Mapel : Matematika

Kelas : XI SMA

Materi : Fungsi

Kode soal : 2

Gof (x) = g(f(x))
= 2 (x-2)^2 + 3(x-2) + 10
= 2(x^2 -4x + 4 ) + 3x – 6 + 10
= 2x^2 – 8x + 4 + 3x + 4
= 2x^2 – 5x + 8