Matematika

Pertanyaan

jika f(x + 1) = x - 3 dan g(x)= x^2 - 2x maka nilai (f^-1 o g)(3) adalah....

1 Jawaban

  • g(x) = x^2 - 2x
    g(3) = 3^2 - 2(3)
    g(3) = 9 - 6
    g(3) = 3

    f(x + 1) = x - 3
    f-1(x - 3) = x + 1
    f-1(6-3) = 6+1
    f-1(3) = 7

    sehingga
    (f-1○g)(3)
    f-1(g(3))
    f-1(3)
    7

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