jika g(x) = x + 1 (f ○ g)(x) = x² + 3x + 1, maka f(x) = ..... a. x² + 5x + 5 b. x² + x - 1 c. x² + 4x + 3 d. x² + 6x + 1 e. x² + 3x - 1

Kelas10 Matematika
Bab Fungsi Komposisi

(fog) (x) = x² + 3x + 1
f(g(x)) = x² + 3x + 1
f(x + 1) = x² + 3x + 1
f(x - 1 + 1) = (x - 1)² + 3(x - 1) + 1
f(x) = x² - 2x + 1 + 3x - 3 + 1
f(x) = x² + x - 1

Jawabannya:

Mapel. : Matematika
Bab. : Fungsi Komposisi

Pembahasan:

fog(x) = x²+3x+1
f(g(x) = x²+3x+1
f(x+1) = x²+3x+1
f(x-1+1) = (x-1)²+3(x-1)+1
f(x) = x²-2x+1+3x-3+1
f(x) = x²-2x-3x+1-3+1
f(x) = x²+x+1-3+1
f(x) = x²+x-2+1
f(x) = x²+x-1 → Jwbnya

# Maaf Kalo Salah