Matematika

Pertanyaan

diketahui (gof)(x) invers= 5x+1/4x+8, (gof)(x) adalah...

2 Jawaban

  • gof(x) invers=(5x+1)/(4x+8)
    y(4x+8)=(5x+1)
    4xy+8y=5x+1
    8y-1=5x-4xy
    8y-1=x(5-4y)
    (8y-1)/(5-4y)=x
    gof(x)=(8x-1)/(5-4x)
  • Fungsi Invers

    {gof}⁻¹ (x)=  (5x +1)/(4x +8)

    gof(x) = [ (gof)⁻¹}⁻¹
    gof(x) = (8x - 1)/(-4x + 5) 
    atau   = (8x -1)/(5 - 4x)

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