Matematika

Pertanyaan

Dik: F(x) =3x-2
G(x) =x/x-1
Dit:(FoG) -1 (x) ??
Dik: F(x) =3x-2 G(x) =x/x-1 Dit:(FoG) -1 (x)  ??

1 Jawaban

  • f(x) = 3x - 2
    g(x) = x / (x - 1)

    (f o g) (x) = f(x / (x - 1))
    = 3(x / (x - 1)) - 2
    = (3x / (x - 1)) - 2

    y = (3x / (x - 1)) - 2
    y + 2 = 3x / (x - 1)
    (y + 2)(x - 1) = 3x
    x = (y + 2)(x - 1) / 3

    Jadi (f o g)-ยน (x) = (y + 2)(x - 1)/3

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