Matematika

Pertanyaan

Diketahui f (x)= 3x -10 dan g (x) = -4x -a. Bila (fog) (x) = (gof) (x) , hitung nilai a !

1 Jawaban

  • f(x) = 3x - 10
    g(x) = -4x - a

    (fog)(x) = (gof)(x)
    f(-4x - a) = g(3x - 10)
    3(-4x - a) - 10 = -4(3x -10) - a
    -12x - 3a - 10 = -12x + 40 -a
    -3a - 10 = 40 - a
    -10 - 40 = -a + 3a
    2a = -50
    a = -50/2
    a = -25

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