Matematika

Pertanyaan

jika f(x)=2x-1 per x+2 dan g(x)=3x-2,maka (gof)(x)=

1 Jawaban

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

    (g • f) = 3[(2x - 1)/(x + 2)] - 2
    =[(6x - 3)/(x + 2)] - 2
    = (6x - 3)/(x + 2) - 2(x + 2)/(x + 2)
    = (6x - 3)/(x + 2) - (2x + 4)/(x + 2)
    = [(6x - 3) - (2x + 4)]/(x + 2)
    = (4x - 7)/(x + 2)

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