Matematika

Pertanyaan

jika(f)=1/2x-1 dan g(x)=2x+4, maka tentukan (g o f)-1(10)

1 Jawaban

  • f(x) = 1/2x - 1
    gof(x) = 2(1/2x - 1) + 4
    = 1/x - 2 + 4
    = 1/x + 2
    = 1/x + 2x/x
    = (1 + 2x)/x
    gof(x) = (2x + 1)/x
    y = (2x + 1)/x
    yx = 2x + 1
    yx - 2x = 1
    x(y - 2) = 1
    x = 1 / (y - 2)
    (gof)-¹(x) = 1 / (x - 2)
    (gof)-¹(10) = 1 / (10-2)
    = 1/8

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