Matematika

Pertanyaan

Diketahui (fog) (x)= 4x-6 dan g(x)= x+2/2x-1, maka tentukan f(x) !

1 Jawaban

  • fog(x) = 4x - 6
    f(x+2 / 2x-1) = 4x - 6
    misal p = x+2 / 2x-1
    2px - p = x + 2
    2px - x = p + 2
    x(2p - 1) = p + 2
    x = p+2 / 2p-1
    f(p) = 4(p+2 / 2p-1) - 6
    f(p) = (4p+8 / 2p-1) - 6
    f(p) = (4p+8 / 2p-1) - 6(2p-1)/2p-1
    f(p) = (4p+8 / 2p-1) - (12p-6 / 2p-1)
    f(p) = (4p + 8 - 12p + 6)/2p-1
    f(p) = (-8p + 14) / (2p - 1)
    f(x) = (-8x+14) / (2x-1)

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