Matematika

Pertanyaan

fungsi f ditentukan f(x)=px+q dengan x E R .pada fungsi tersebut f(-2)=-11 dan f(3)=14.hitunglah nilai f(20)

1 Jawaban

  • f(x) = px + q
    f(-2) = p(-2) + q = -11
    -2p + q = -11
    f(3) = p(3) +q = 14
    3p + q = 14

    f(3) = 3p + q = 14
    f(-2) = -2p + q = -11
    ---------------------------- dikurangi
    5p = 25
    p = 25/5
    p = 5

    Eliminasi
    f(3) = 3p + q = 14
    = 3(5) + q = 14
    = 15 + q = 14
    = q = 14 - 15
    = q = -1

    f(20) = px + q
    = 5(20) + (-1)
    = 100 + (-1)
    = 99

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