Matematika

Pertanyaan

f(x)=2x-1/x+5 maka f-¹(4)=

2 Jawaban

  • f(x) = (2x - 1) / (x + 5)
    y(x + 5) = 2x - 1
    yx + 5y = 2x - 1
    yx - 2x = -5y - 1
    x (y - 2) = (-5y - 1)
    x = (-5y - 1) / (y - 2)
    f-¹(x) = (-5x - 1) / (x - 2)

    f-¹(4) = (-5 (4) - 1) / (4 - 2)
    = (-21) / 2
    = -21/2
  • f(x) = 2x-1/x+5
    maka,   y = (2x-1)/x+5
                 y = (2x-1+5x)x
               xy = 2x-1+5x
     xy-2x-5x = -1
          x(y-7) = -1
                x = -1/(y-7)
    f invers (y) = -1/(y-7)
    f invers (x) = -1/(x-7)
    f invers (4) = -1/(4-7)
                      = -1/-3
                      = 1/3

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