Matematika

Pertanyaan

Jika f(x) = -4x +3/x-1 dan g(x) = x+2 ,maka (g o f) invers (x) =
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1 Jawaban

  • f(x) = (-4x + 3)/(x - 1)
    f^-1 (x) = (x + 3)/(x + 4)

    g(x) = x + 2
    g^-1 (x) = x - 2

    (gof)^-1 (x)
    = (f^-1 o g^-1)(x)
    = (x - 2 + 3)/(x - 2 + 4)
    = (x + 1)/(x + 2) ✔

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