jika f(x) 3x-6 dan g(x) 2x+a bila (fog)(x)=(gof)(x) maka nilai a?
Matematika
rekilaras
Pertanyaan
jika f(x) 3x-6 dan g(x) 2x+a bila (fog)(x)=(gof)(x) maka nilai a?
2 Jawaban
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1. Jawaban GHONI15
F (gx) = g (fx)
3(2x+a)-6 = 2(3x-6) + a
6x+3a-6 = 6x-12+a
2a= -6
a= -3 -
2. Jawaban arsetpopeye
f(x) = 3x - 6, g(x) = 2x + a
(f o g)(x) = (g o f)(x)
f(g(x)) = g(f(x))
3g(x) - 6 = 2f(x) + a
3(2x + a) - 6 = 2(3x - 6) + a
6x + 3a - 6 = 6x - 12 + a
6x - 6x + 3a - a = -12 + 6
2a = -6
a = -6/2 = -3