Matematika

Pertanyaan

tolong ya jawab soal tentang fungsi invers. besok dikumpul
tolong ya jawab soal tentang fungsi invers. besok dikumpul

1 Jawaban

  • 1.a.
    (fog)(x) = f(g(x))
    = f (2x+1)
    = 4(2x+1) -2
    = 8x + 4 - 2
    = 8x + 2
    a = 8 ,b= 2

    [tex] f^{-1} = \frac{x-b}{a} [/tex]

     f^-1 = x - 2 / 8

    1.b.
    (gof)(x)=g(f(x))
    =g (4x-2)
    =2(4x-2)+1
    = 8x - 4 +1
    = 8x - 3
    a=8, b= -3
    f^-1 = x-b/a
    =x - (-3)/8
    = x + 3 / 8

    2.a.
    fog(x) = f(g(x))
    =f(3x+1)
    =6(3x+1)+ 1 / 3(3x+1) -1
    =18x + 6 + 1 / 9x + 3 -1
    = 18x + 7 / 9x + 2

    a=18,b=7,c=9,d=2

    [tex] f^{-1} = \frac{-dx+b}{cx-a} [/tex]

     f^-1 = -2x + 7 / 9x - 18

    2.b. sama kayak yg a ya..


    maaf kalau salah :)
    koreksi lagi ya...