Matematika

Pertanyaan

diketahui fungsi f : R R dan g R R di tentukan oleh f (x) =3x+4 dan g (x) = 6-2x tentukan (gof) -1 (x)

2 Jawaban

  • (gof)(x) = 6 - 2(3x + 4)
    (gof)(x) = 6 - 6x - 8
    (gof)(x) = -6x - 2
    y = -6x - 2
    6x = -2 - y
    x = (-2 - y)/6
    (gof)^-1(x) = (-2 - x)/6
  • Bab Fungsi Komposisi
    Matematika SMA Kelas X

    (gof) (x) = g(3x + 4)
    (gof) (x) = 6 - 2(3x + 4)
    (gof) (x) = 6 - 6x - 8
    (gof) (x) = -2 - 6x = y
    -6x = y + 2
    x = -1/6 (y + 2)

    (gof)⁻¹ (x) = -1/6 (x + 2)

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