Matematika

Pertanyaan

fungsi f dengan f(x) = x+3per2-x, x =/ 2;g(x) = 2x-1 invers (g o f) adalah (g o f)^-1 (x) ?
tolong bantu jawab.. TERIMAKASIH
fungsi f dengan f(x) = x+3per2-x, x =/ 2;g(x) = 2x-1 invers (g o f) adalah (g o f)^-1 (x) ? tolong bantu jawab..  TERIMAKASIH

2 Jawaban

  • Jawab :

    f(x) = (x + 3)/(-x + 2)
    f^-1 (x) = (-2x + 3)/(-x - 1)

    g(x) = 2x - 1
    g^-1 (x) = (x + 1)/2

    (gof)^-1 (x)
    = (f^-1 o g^-1)(x)
    = (-2(x + 1)/2 + 3) / (-(x + 1)/2 - 1)
    = (-x + 2) × 2 / (-x - 3)
    = (-2x + 4) / (-x - 3)
    = (2x - 4) / (x + 3)

    Opsi : B
  • smoga membantush_!

    #jwbnny ad dipict
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