Matematika

Pertanyaan

fungsi f didefinisikan dengan rumus f(x) = px + q. jika f(-2) = -10 dan f(3) = 5 maka nilai f(-4) adalah....

2 Jawaban

  • jawab

    f(x) = px + q
    f(-2) = -10 --> -2p + q = - 10
    f(3) = 5 .....--> 3p + q = 5..........(-)
    -5p = - 15
    p= 3

    q = 5 - 3p = 5 - 3(3)
    q = - 4

    f(-4) = 3(-4) - 4 
    f(-4) = -16
  • F(x) = px+q
    F(-2)= -2p+q=-10
    F(3)= 3p+q=5
    ________________ -
    -5p = -15
    p= 3

    Masukkan nilai p=3 ke salah satu fungsi diatas:
    F(-2) = -2p+q=-10
    = -2×3 +q=-10
    = -6+q=-10
    = q = -10+6
    = q = -4

    Jadi F(x) = px+q
    = 3x-4

    Nilai F(-4) adalah:
    F(x) = 3x-4
    F(-4) = (3×-4) -4
    F(-4) = -12-4
    = -16

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