f (x) = 2x + 5, g (x) = 5x - 2x + 2, h (x) = 2x - 1 tentukan f ° h ° g (x)
Matematika
vita383
Pertanyaan
f (x) = 2x + 5, g (x) = 5x - 2x + 2, h (x) = 2x - 1 tentukan f ° h ° g (x)
1 Jawaban
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1. Jawaban Anonyme
5x dianggap 5x²
fogoh(x) = f(g(h(x)) = f(g(2x - 1)
= f(5(2x - 2)² - 2(2x + 2) + 2)
= f(5(4x² - 8x + 4) - 4x - 4 + 2)
= f(20x² - 40x + 20 - 4x - 2)
= f(20x² - 44x + 18)
= 2(20x² - 44x + 18) + 5
= 40x² - 88x + 41