Matematika

Pertanyaan

suatu fungsi f(x) =ax + b , jika f(2) = 3 dan f(5) = 15 ,maka f(10) =

2 Jawaban

  • F(5) = a.5 + b = 15
    F(2) = a.2 + b = 3

    (5-2)b = (15-3) a.2 + 4 =3
    3b = 12 a. (4+2) = 3
    b = 4 a = 6 : 3
    a = 2


    F(10) = ax + b
    = 2.10 + 4
    = 20 + 4
    = 24
  • f(x) = ax + b
    f(2) = 2a + b = 3
    f(5) = 5a + b = 15
    ------------------------- --
    ....... -3a = -12 => a = 4

    2a + b = 3 => b = 3 - 2a = 3 - 2(4) = -5

    f(x) = ax + b = 4x - 5
    f(10) = 4(10) - 5 = 35

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