Matematika

Pertanyaan

Diketahui(fog) (x) =2x-3÷x+4;x≠-4 dan g(x) =1-x, maka f(x) =…

1 Jawaban

  • (fog)(x) = (2x-3) / (x+4)
    f(g(x)) = (2x-3) / (x+4)
    f(1-x) = (2x-3) / (x+4)

    misalkan 1-x = y
    x = 1-y

    f(y) = [ 2(1-y) - 3 ] / (1-y+4)
    = ( 2 - 2y - 3) / ( 5 - y)
    = ( -1 - 2y) / ( 5 - y)

    f(x) = ( -1 - 2x) / ( 5 - x)

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