Matematika

Pertanyaan

fungsi f didefinisikan dengan rumus f(x)= px+q jika f (3)=-10 dan f(-2)=0, nilai nilai f (8)

1 Jawaban

  • f(x) = px+q
    f(3) = -10
    f(-2) = 0

    f(3) = 3p+q = -10
    f(-2) = -2p+q = 0

    3p+q = -10 ....1️⃣
    -2p+q = 0 ....2️⃣
    ---------------- --
    3p - (-2p) + q - q = -10 - 0
    3p + 2p = -10
    5p = -10
    p = -10/5
    p = -2

    Substitusikan ke 1️⃣
    (3 x -2) +q = -10
    -6 + q = -10
    q = -10+6
    q = -9

    f(x) = px+q (masukkan p dan q) -»f(x) = -2x-9

    f(8) = (-2x8) - 9 = -16-9 = -25
    Jadi, f(8) = -25

Pertanyaan Lainnya