Matematika

Pertanyaan

Tolong dijawab nanti dpt follow dari aku
Tolong dijawab nanti dpt follow dari aku

2 Jawaban

  • Semoga dapat membantu
    Gambar lampiran jawaban decazi23p4nrze
  • 25
    misal f(x) = y
    [tex]y= \frac{3x-2}{2x+5} [/tex]
    y(2x+5)= 3x-2
    2xy + 5y = 3x - 2
    2xy - 3x = -2 -5y
    x(2y - 3) = -2 - 5y
    [tex]x= \frac{-2 - 5y}{2y - 3} [/tex]
    [tex]x= -\frac{2 + 5y}{2y - 3} [/tex]
    [tex]x= \frac{5y + 2}{3 - 2y} [/tex]
    maka fungsi inversnya :
    [tex]f^{-1}(x) = \frac{5x + 2}{3 - 2x} [/tex]
    jawaban : C

    29
    misal f(x) = y
    [tex]y= \frac{4x+1}{-3x+2} [/tex]
    y(-3x+2)= 4x+1
    -3xy + 2y = 4x + 1
    -3xy - 4x = 1 - 2y
    x(-3y - 4) = 1 - 2y
    [tex]x= \frac{1 - 2y}{-3y - 4} = -\frac{2y-1}{-3y - 4}= \frac{2y-1}{3y + 4}[/tex]
    fungsi inversnya :
    [tex]f^{-1}(x) = \frac{2x - 1}{3x + 4} [/tex]
    jawaban : A