Matematika

Pertanyaan

Suatu fungsi dirumuskan dengan f(x)=px+q jika f(-2)=14 danf(3)=-1 maka nilai f(5)adalah...
A.-11
B-7
C.-3
D.3

2 Jawaban

  • f(x) = px+q
    f(-2) = 14
    f(3) = -1
    Dit : f(5) ..?

    f(-2) = p(-2) + q
    14 = -2p + q

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

    -2p + q = 14
    3p + q = -1
    ----------------- (-)
    -5p = 15
    p = 15/(-5) = -3

    3p + q = -1
    3(-3) + q = -1
    -9 + q = -1
    q = -1 + 9 = 8

    f(5) = p(5)+q
    f(5) = (-3)(5) + 8
    f(5) = -15 + 8
    f(5) = -7 B
  • F(x) = px+q
    F(-2) = -2p + q
    F(3) = 3p+q
    Eliminasi
    -2p+q =14
    3p+q = -1
    ----------------- -
    -5p = 15
    P = -3
    q = 14-6 = 8
    F(5) = -3(5)+8 = -15+8=-7

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