Matematika

Pertanyaan

Suatu fungsi dirumuskan dengan fx = ax + b. Jika F(-2) = 14 dan F(3) =-1 maka nilai F(1) adalah

1 Jawaban

  • Jawab :

    f(x) = ax + b
    f(-2) = a(-2) + b = -2a + b = 14
    f(3) = a(3) + b = 3a + b = -1

    -2a + b = 14
    3a + b = -1
    ___________ -
    -5a = 15
    a = -3

    3a + b = -1
    3(-3) + b = -1
    -9 + b = -1
    b = -1 + 9
    b = 8

    f(x) = ax + b = -3x + 8

    Nilai f(1) = -3(1) + 8 = -3 + 8 = 5

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