Matematika

Pertanyaan

suatu fungsi f(x)=px+q doketahui f(1)=5 dan f(3)=-1.nilai f(-1) adalah..

1 Jawaban

  • f(x) = px + q

    f(1) = 5
    p(1) + q = 5
    p + q = 5
    p = 5 - q

    f(3) = -1
    p(3)+ q = -1
    3p + q = -1

    Substitusikan
    3p + q = -1
    3(5 - q) + q = -1
    15 - 3q + q = -1
    -2q = -1 - 15
    -2q = -16
    q = 8

    p = 5 - q
    p = 5 - 8
    p = -3

    bentuk fungsi
    f(x) = -3x + 8

    f(-1) = -3(-1) + 8
    = 3 + 8
    = 11

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