dik (fog)(x)=4x²-4x+2dan g(x)=2x-1 tentukan f(x)
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Pertanyaan
dik (fog)(x)=4x²-4x+2dan g(x)=2x-1 tentukan f(x)
1 Jawaban
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1. Jawaban Anonyme
Bab Fungsi Komposisi
Matematika SMA Kelas X
(fog) (x) = 4x² - 4x + 2
f(2x - 1) = 4x² - 4x + 2
f(2 . x/2 - 1) = 4 . (x/2)² - 4 (x/2) + 2
f(x - 1) = 4x²/4 - 2x + 2
f(x - 1) = x² - 2x + 2
f(x + 1 - 1) = (x + 1)² - 2(x + 1) + 2
f(x) = x² + 2x + 1 - 2x - 2 + 2
f(x) = x² + 1