Matematika

Pertanyaan

Jika f(x)=x+2/x-3 dan g(x)=2x+5 fungsi (f°g)-1(x)=

1 Jawaban

  • Fungsi Komposisi

    f(x) = (x + 2) / (x - 3)
    g(x) = 2x + 5

    (fog)(x)
    = (2x + 5 + 2) / (2x + 5 - 3)
    = (2x + 7) / (2x + 2)

    •••
    f(x) = (ax + b) / (cx + d)
    f^-1 (x) = (-dx + b) / (cx - a)

    •••
    (fog)^-1 (x) = (-2x + 7) / (2x - 2)

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