Matematika

Pertanyaan

f(x) = 3x+6
g(x) = 2x - 10
tentukan
(f-10g-1) (x)

1 Jawaban

  • f(x) = 3x + 6
    x = (y - 6)/3
    f⁻¹(x) = (x - 6)/3

    g(x) = 2x - 10
    x = (y + 10)/2
    g⁻¹(x) = (x + 10)/2

    (f⁻¹ o g⁻¹)(x) = f⁻¹(x + 10)/2
    = ((x + 10)/2 - 6)/3
    = (x + 10 - 12)/6
    = (x - 2)/6

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