Matematika

Pertanyaan

Jika f(x)= -3x +1 dan g(x)= 2x/x-1 maka (fog)invers (x) adalah

1 Jawaban

  • fog(x)
    = f(g(x))
    = -3(2x/(x-1)) + 1
    = (-6x + x-1)/(x+1)
    = (-5x+1)/(x+1)
    y =(-5x+1)/(x+1)
    xy + y = -5x+ 1
    xy + 5x = 1 - y
    x(y+5) = 1- y
    x = (1-y)/(y+5)
    fog invers x = (1-x)/(x+5)

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