Matematika

Pertanyaan

diketahui f(x)= 4x+1 dan g(x)= 2x + a. jika (fog) (x) = (gof) (x) , maka nilai Dari a adalah..

2 Jawaban

  • f (x) = 4x + 1
    g (x) = 2x + a

    fog (x)
    = f (g (x))
    = f (2x + a)
    = 4 (2x + a) + 1
    = 8x + 4a + 1

    gof (x)
    = g (f (x))
    = g (4x + 1)
    = 2 (4x + 1) + a
    = 8x + 2 + a

    fog (x) = gof (x)
    8x + 4a + 1 = 8x + 2 + a
    4a - a = 8x - 8x + 2 - 1
    3a = 1
    a = 1/3
  • semoga membantu
    happy for help you
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