Diketahui f (x) = 3x²-2x, g (x) = 4x - x² maka nilai (fog) (x) adalah..
Matematika
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Pertanyaan
Diketahui f (x) = 3x²-2x, g (x) = 4x - x² maka nilai (fog) (x) adalah..
1 Jawaban
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1. Jawaban evelinedespiadi1
(fog) (x) =
f(g(x)) = 3x²-2x
f(4x - x²)= 3(4x - x²)² - 2 (4x - 2)
= 3(4x- x²) (4x - x²) - 8x + 4
= 3 (16x²- 4x³- 4x³ + x⁴) - 8x + 4
= 3 (16x²- 8x³+ x⁴) - 8x + 4
= 48x² - 24x³ + 3x⁴ - 8x + 4
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