Diketahui f(x) = Xpangkat2 +X-6 dan g(x) = X-2. Tentukan: A. (F+g) (x) B. (F-g) (x) C. (F.g) (×) D. (F/g) (x)
Matematika
Dnsm
Pertanyaan
Diketahui f(x) = Xpangkat2 +X-6 dan g(x) = X-2. Tentukan:
A. (F+g) (x)
B. (F-g) (x)
C. (F.g) (×)
D. (F/g) (x)
A. (F+g) (x)
B. (F-g) (x)
C. (F.g) (×)
D. (F/g) (x)
1 Jawaban
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1. Jawaban hananda16052002
(f+g)(x) = (x^2 + x - 6) + ( x - 2) = x^2 + 2x - 8
(f+g)(x) = (x^2 + x - 6) - ( x - 2) = x^2 - 4
(f × g)(x) = (x^2 + x - 6) × ( x - 2) = x^3 - 2x^2 + x^2 - 2x - 6x + 12 = x^3 - x^2 - 8x + 12
(f / g)(x) = (x^2 + x - 6) / (x - 2) = ((x + 3) (x - 2)) / (x - 2) = x + 3