Diketahui g(x) = x-1 dan (f○g)(x) = 2x^−4x+3. Rumus fungsi f(x+1)
Matematika
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Pertanyaan
Diketahui g(x) = x-1 dan (f○g)(x) = 2x^−4x+3. Rumus fungsi f(x+1)
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
(fog) (x) = 2x² - 4x + 3
f(x - 1) = 2x² - 4x + 3
f(x + 1 - 1) = 2(x + 1)² - 4(x + 1) + 3
f(x) = 2(x² + 2x + 1) - 4x - 4 + 3
f(x) = 2x² + 4x + 2 - 4x - 1
f(x) = 2x² + 1
f(x + 1) = 2(x + 1)² + 1
f(x + 1) = 2(x² + 2x + 1) + 1
f(x + 1) = 2x² + 4x + 3