Matematika

Pertanyaan

F(x)=ax-2b,jika f(5)=20 dan f(4)=12,f(8) + f(9)

1 Jawaban

  • Suatu fungsi dirumuskan dengan
    f(x) = ax - 2b

    Jika,
    f(5) = a(5) - 2b = 20 (1)
    f(4) = a(4) - 2b = 12 (2)

    Ditanya,
    f(8) + f(9) =

    Jawab :
    Eliminasi dahulu
    f(5) = a(5) - 2b = 20
    f(4) = a(4) - 2b = 12
    --------------------- -
    a = 8
    masukkan hasil a ke persamaan (1)
    f(5) = a(5) - 2b = 20
    f(5) = 8(5) - 2b = 20
    f(5) = 40 - 2b = 20
    f(5) = -2b = -60
    f(5) = b = 30

    f(8) = 8(8) - 2(30)
    f(8) = 64 - 60
    f(8) = 4

    f(9) = 8(9) - 2(30)
    f(9) = 72 - 60
    f(9) = 12

    f(8) + f(9) =
    4 + 12 = 16

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