Diketahui f(x-2)=x^2+3× dan g(x)= 4×+1 Rumus fungsi (fog) (x) =
Matematika
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Pertanyaan
Diketahui f(x-2)=x^2+3× dan g(x)= 4×+1 Rumus fungsi (fog) (x) =
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Fungsi Komposisi
f(x - 2) = x² + 3x
f(x + 2 - 2) = (x + 2)² + 3 (x + 2)
f(x) = x² + 4x + 4 + 3x + 6
f(x) = x² + 7x + 10
(fog) (x) = f (4x + 1)
(fog) (x) = (4x + 1)² + 7 (4x + 1) + 1
(fog) (x) = 16x² + 8x + 1 + 28x + 7 + 7
(fog) (x) = 16x² + 36x + 15