Matematika

Pertanyaan

jika g(x) =x^ - 1 dan fungsi (fog)(x) =x^4 maka f(4) =.....

1 Jawaban

  • (f • g)(x) =x^(4)
    g(x) = x^(-1) = 1/x

    cari dulu g^(-1) (x) = 1/x

    Ingat, g(g^(-1)(x)) = x

    = (fog)(x)
    = f (g(x))
    = f (g(g^(-1)(x)))
    = [ (g^(-1)(x))^(-1) ]
    = [ (1/x)^(-1) ]
    = x = f(x)

    f(4) = 4

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