Jika diketahui f(x) = 2X^2 dan g(x)= x-5 maka tentukan (g ○ f)(x) dan (f ○ g)(x)
Matematika
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Pertanyaan
Jika diketahui f(x) = 2X^2 dan g(x)= x-5 maka tentukan (g ○ f)(x) dan (f ○ g)(x)
2 Jawaban
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1. Jawaban LouiseTantri2008
f(x) = 2x^2
g(x) = x-5
(g●f)(x) = x-5
(g●f)(x) = (2x^2) - 5
(f⚬g)(x) = 2x^2
(f⚬g)(x) = 2(x-5)^2
(f⚬g)(x) = 2(x^2-5x-5x+25)
(f⚬g)(x) = 2(x^2-10x+25)
(f⚬g)(x) = 2x^2-20x+50
semoga membantu yaa:) -
2. Jawaban Anonyme
f(x) = 2x²
g(x) = x - 5
g(f(x)) = 2x² - 5
f(g(x)) = 2(x - 5)² = 2x² - 20x + 50