Matematika

Pertanyaan

suatu fungsi dirumuskan f(×) =ax+b jika f(-2)=13 dan f3=-7 maka nilai f(-3) adalah

2 Jawaban

  • F(x)=ax+b
    F(-2)=-2a+b
    13=-2a+b .....1

    F(3) =3a+b
    -7=3a+b .....2

    13=-2a+b
    -7=3a+b
    ---------------- -
    20=-5a
    -4 = a
    b = 5
    F(x) = -4x+5
    F(-3) = -4.-3 +5
    = 12+5
    = 17
  • F(x) = ax+b
    F(-2)=a• (-2)+b
    13 = -2a+b .... (1)
    F(3) = a•3 + b
    -7 = 3a+b .... (2)
    (1) & (2) di eliminasi
    -2a+b = 13
    3a+b = -7
    --------------- -
    -5a = 20
    a = 20/-5
    a = -4

    a subtitusikan ke pers. (2)
    3a+b = -7
    3•(-4) + b = -7
    -12 +b = -7
    b = -7 + 12
    b = 5
    Maka f(-3) = (-4)•(-3) + 5
    = 12 + 5
    = 17 ✅
    Di koreksi lagi ya kalau ada yg salah.....

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