Matematika

Pertanyaan

suatu fungsi dengan rumus f(x)=ax+b. Jika f(2) =13 dan f(5)=22 maka f(-3)adalah

1 Jawaban

  • f(2) = ax+b
    13 = a(2) + b
    13 = 2a + b ...(i)

    f(5) = ax+b
    22 = a(5) + b
    22 = 5a + b ...(ii)

    Eliminasikan
    2a + b = 13
    5a + b = 22
    _________ -
    -3a = -9
    a = 3

    Substitusikan a = 3
    2a + b = 13
    2(3) + b = 13
    b = 13 - 6
    b = 7

    Jadi a = 3 b = 7
    f(-3) = ax + b
    = 3.(-3) + 7
    = -9 + 7
    f(-3) = -2

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