Jika (fog) (x) =12x²+33x+26 dan g(x) =2x+3 maka f(x)???
Matematika
chudel
Pertanyaan
Jika (fog) (x) =12x²+33x+26 dan g(x) =2x+3 maka f(x)???
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
(fog) (x) = 12x² + 33x + 26
f(2x + 3) = 12x² + 33x + 26
f(2 . x/2 + 3) = 12 . (x/2)² + 33 . x/2 + 26
f(x + 3) = 12 . x²/4 + 33x/2 + 26
f(x - 3 + 3) = 3 . (x - 3)² + 33 . (x - 3)/2 + 26
f(x) = 3 (x² - 6x + 9) + 33x/2 - 3/2 + 26
f(x) = 3x² - 18x + 27 + 33x/2 - 3/2 + 26
f(x) = 3x² -3x/2 + 53