Matematika

Pertanyaan

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

2 Jawaban

  • Langsung aja y

    (gof)(x) = g{f(x)}

    = 6 - 2f(x)
    = 6 - 2(3x + 4)
    = 6 - 6x - 8
    = -6x - 2

    (gof)(x) = -6x - 2
    y = -6x - 2
    6x = -y - 2
    x = (-y - 2) / 6

    (gof)`¹(x) = (-x - 2) / 6

    Semoga berguna +_+
  • 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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