Matematika

Pertanyaan

Tolong bantu ini komposisi fungsi invers
Pake cara ya pls
Tolong bantu ini komposisi fungsi invers Pake cara ya pls

1 Jawaban

  • jawab

    f(x) = (4x - 2)/(x - 3)
    f⁻¹(x) = (3x - 2)/(x -4)

    g(x) = (3x -2)/(x - 4)
    g⁻¹(x) = (4x -2)/(x - 3)

    (fog)⁻¹ (x) =  g⁻¹ o f⁻¹=  g⁻¹ { (3x -2)/(x-4) }
    (fog)⁻¹(x) = 

    = [ 4{(3x-2)/(x-4)} - 2] / [ {(3x-2)/(x-4)} - 3 ....kalikan (x -4)/(x-4)

    = [ 4 (3x-2) - 2(x -4) ] / [(3x-2 )- 3(x-4) ]

    = [ (4x -8 -2x + 8) ]/[ 3x-2 -3x + 12]

    = (2x )/(10)
    =  x/5