Matematika

Pertanyaan

f dirumuskan f(x) =px +q . Jika f(3) =9 dan f(-6) =3, maka rumus fungsi f(x) adalah

2 Jawaban

  • rumus f(x)= px+4
    f(3)=px+q= -10
         =3p+q= -10

    f(-2)=px+q=0
           = -2p+q=0

    =3p+q= -10
    = -2p+q=0
    _____________-

    =5p= -10
        p= -2

    -2p+4=0
    -2(-2)+q=10
               q= -4

    f(-7)= -2(-7)-4
          =14-4
          =10

    jadi nilai f(7)=10
  • F(x) = px + q = 9
    F(3) = p(3) + q = 9
    = 3p + q = 9
    dan

    F(x) = px + q = 3
    F(-6) = p(-6) + q = 3
    = -6p + q = 3

    jadi,

    3p + q = 9
    -6p + q = 3 _
    ------------------
    9p + 0 = 6
    9p = 6
    p = 6 - 9
    p = -3

    ambil perumusan paling atas,

    F(x) = px + q = 9
    F(3) = -3(3) + q = 9
    = -3 + q = 9
    = -3q = 9
    q = 9 + 3
    q = 12

    jadi, perumusannya adalah :

    F(x) = -3x + 12
    ---------------------

Pertanyaan Lainnya