Matematika

Pertanyaan

fungsi f(x)=x pangkat tiga dan g(x)=4x +2 nilai x jika f-1 o g-1 (x)=2 adallah

1 Jawaban

  • Diketahui :
    f(x) = x^3
    g(x)= 4x + 2
    (f○g)^-1(x) = 2
    Ditanyai :
    x = ...?
    Jawab:

    f(x) = x^3
    y = x^3
    x = akar y
    jadi f^-1(x) = akar x

    g(x) = 4x + 2
    y = 4x + 2
    x = (y - 2)/4
    jadi g(x) = (x - 2)/4

    (f○g)^-1(x) = 2
    (f^-1(g^-1(x))) = 2
    f^-1((x - 2)/4) = 2
    Akar((x -2)/4) = 2
    (x - 2)/4 = 2^2
    x - 2 = 4 × 4
    x = 16 + 2 = 18

    :-):-):-)

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