Matematika

Pertanyaan

Jika f (x) =1/x dan g(x) =2x-1, tentukan (fog) ¯¹(x)

1 Jawaban

  • f(x) = 1/x
    g(x) = 2x - 1

    (fog) (x)
    = 1 / (2x - 1)
    y = 1 / (2x - 1)
    y(2x - 1) = 1
    2yx - y = 1
    2yx = 1 + y
    x = (1 + y) / 2y
    f-¹(x) = (1 + x) / 2x
    x ≠ 0

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