Matematika

Pertanyaan

diketahui f(x)=3x-6 dab g(x)= 2x+a. jika (f ° g) (x) =(g ° f) (x), maka a =

1 Jawaban

  • f(x) = 3x - 6
    g(x) = 2x + a

    (fog) (x) = (gof) (x)
    f(g(x)) = g(f(x))

    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
    a = -3

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