Matematika

Pertanyaan

F(x) = ax+b ; f(1) = -1, f(3) = 7

1 Jawaban

  • f(x) = ax + b

    f(1) = -1
    a + b = -1 ... (1)

    f(3) = 7
    3a + b = 7 ... (2)

    Eliminasi persamaan 1 dan 2:
    a + b = -1
    3a + b = 7
    __________ -
    -2a = -8
    a = 4

    Substitusi a = 1 ke dalam pers. (1) atau (2)
    a + b = -1
    4 + b = -1
    b = -1 - 4
    b = -5

    Jadi, f(x) = 4x - 5

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