Matematika

Pertanyaan

f(x)=px+q, jikaf(-2)=-13 dan f(3)=12, maka nilai f(5) adalah

2 Jawaban

  • f(x) = px + q
    f(-2) = -2p + q = -13
    f(3) = 3p + q = 12

    eliminasi q
    -2p + q = -13
    3p + q = 12 (dikurangi)
    -5p. = -25
    p = -25/-5
    p = 5

    substitusi p= 5
    3.5 + q = 12
    15 + q = 12
    q = 12 - 15
    q = -3

    f(x) = 5p - 3
    f(5) = 5.5 - 3 = 25 - 3 = 22
  • f(x) = px + q

    f(-2) = p(-2) + q
    -13 = -2p + q

    f(3) = p(3) + q
    12 = 3p + q

    12 = 3p + q
    -13 = -2p + q _
    -------------------
    25 = 5p
    5 = p

    12 = 3(5) + q
    12 = 15 + q
    12 - 15 = q
    -3 = q

    f(5) = 5(5) - 3
    f(5) = 25 - 3
    f(5) = 22

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