Matematika

Pertanyaan

suatu fungsi dirumuskan f(x) = ax + b. jika f(-2) = 14 dan f(3) = -1 maka nilai f(4) adalah...

2 Jawaban

  • f(x) = ax + b
    f(-2) = a.-2 + b = -2a+b = 14
    f(3) = a.3 + b = 3a + b = -1
    -eliminasi
    -2a+b = 14
    3a +b = -1
    ---------------- -
    1a = 15
    a = 15

    b = 3a + b = -1
    = 3.15 + b =-1
    = 45 + b = -1
    = b = -1-45 = -46

    f(4) = a.4 + b =?
    = 15.4 -46 = ?
    = 60-46 = 14

    Likenya + jawaban terbaik :) makasi
  • f(x)=ax+b
    f(-2)=a(-2)+b
    14=-2a+b......(1)

    f(3)=a(3)+b
    -1=3a+b.......(2)
    eliminasi pers(1) dan (2)
    -2a+b=14
    3a+b=-1
    ________ —
    -5a=15
    a=15/-5
    a=-3
    di substitusikan ke pers(1)
    -2(-3)+b=14
    6+b=14
    b=14-6
    b=8
    jadi,f(4)=-3(4)+8
    f(4)=-12+8
    f(4)=-4

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