Matematika

Pertanyaan

Suatu fungsi dirumuskan f(x) =ax+b jika f(-2)=14 dan f(3)=-1,nilai f(7) adalah

2 Jawaban

  • f(-2) = -2a + b
    14= -2a + b

    f(3) = 3a + b
    -1 = 3a + b

    *eliminasikan

    15 = -5a
    a = -3 , b = 8

    maka ,
    f(7) = -3(7) + 8
    = -21 + 8 = -13
  • f(x) = ax + b

    f(-2) = 14
    a.(-2) + b = 14
    -2a + b = 14.....(1)

    f(3) = -1
    a.3 + b = -1
    3a + b = -1.......(2)

    (2) dan (1) eliminasi
    3a + b = -1
    -2a + b = 14
    ------------------ --
    5a = -15
    a = -15/5
    a = -3

    a = -3 subtitusi ke (1)
    -2a + b = 14
    -2.(-3) + b = 14
    6 + b = 14
    b = 14 - 6
    b = 8

    f(x) = -3x + 8
    f(7) = -3.7 + 8
    f(7) = -21 + 8 = -13


    Moga membantu...

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