Matematika

Pertanyaan

Diketahui f(x) = 2x - 3, pada himpunan bilangan bulat dinyatakan dalam pasangan berurutan {(a,3), (b,-5), (-2,c), (-1,d)}. Nilai a + b + c - d adalah....

1 Jawaban

  • f(x) = 2x - 3

    (a, 3), berarti f(a) = 3
    f(x) = 2x - 3
    f(a) = 2a - 3
    3 = 2a - 3
    2a = 3 + 3
    2a = 6
    a = 6 : 2
    a = 3

    (b, -5), berarti f(b) = -5
    f(x) = 2x - 3
    f(b) = 2b - 3
    -5 = 2b - 3
    2b = -5 + 3
    2b = -2
    b = -2 : 2
    b = -1

    (-2, c), berarti f(-2) = c
    f(x) = 2x - 3
    f(-2) = 2(-2) - 3
    c = 2(-2) - 3
    c = -4 - 3
    c = -7

    (-1, d), berarti f(-1) = d
    f(x) = 2x - 3
    f(-1) = 2 (-1) - 3
    d = 2 (-1) - 3
    d = -2 - 3
    d = -5

    Maka, a + b + c - d = 3 + (-1) + (-7) - (-5) = 3 - 1 - 7 + 5 = 0

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