jika f(x) = x²+4x+9 dan fog(x)=x²-4x+9, maka g(x)=
Matematika
fadhilaaz
Pertanyaan
jika f(x) = x²+4x+9 dan fog(x)=x²-4x+9, maka g(x)=
1 Jawaban
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1. Jawaban Anonyme
f(x) = x² + 4x + 9 = (x + 2)² + 5
(fog)(x) = x² - 4x + 9
f(g(x)) = (x - 2)² + 5
(g(x) + 2)² + 5 = (x - 2)² = 5
(g(x) + 2)² = (x - 2)²
g(x) + 2 = x - 2
g(x) = x² - 2 - 2
g(x) = x² - 4