Matematika

Pertanyaan

Dik F (x)= 2x dan g (x) = 5-x ...tentukan a) (fog) -1 (x) = dan b) (fog ) -1(1)=

1 Jawaban

  • f(x) = 2x dan g(x) = 5 - x

    (fog)(x) = f(g(x))
    (fog)(x) = 2(5 - x)
    (fog)(x) = 10 - 2x

    a). (fog)^-1(x)

    Misal
    y = 10 - 2x
    2x = 10 - y
    x = (10 - y)/2

    (fog)^-1(x) = (10 - x)/2 atau 5 - x/2

    b). (fog)^-1(1)

    (fog)^-1(x) = (10 - x)/2
    (fog)^-1(1) = (10 - 1)/2
    (fog)^-1(1) = 9/2

    Semoga membantu ^-^

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