Matematika

Pertanyaan

Diketahui sebuah rumus f= ax+b. Jika f (-2)= 14 dan f (3) = -1. Maka tentukan f(7)+f(10)=.......

1 Jawaban

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

    Eliminasi
    -2a + b = 14
    3a + b = -1
    _________-
    -5a = 15
    a = 15/-5
    a = -3

    Substitusi
    -2a + b = 14
    -2(-3) + b = 14
    6 + b = 14
    b = 14 - 6
    b = 8

    f(7) = 7a + b
    => 7(-3) + 8
    => -21 + 8
    => -13

    f(10) = 10a + b
    => 10(-3) + 8
    => -30 + 8
    => -22

    f(7) + f(10) = (-13) + (-22) = -35

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