Matematika

Pertanyaan

jika f(x) 3x-6 dan g(x) 2x+a bila (fog)(x)=(gof)(x) maka nilai a?

2 Jawaban

  • F (gx) = g (fx)
    3(2x+a)-6 = 2(3x-6) + a
    6x+3a-6 = 6x-12+a
    2a= -6
    a= -3
  • 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

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