Matematika

Pertanyaan

diketahui fungsi f(x)=ax + b, jika f(5)=4 dan f(10)=14
tentukan:
1) nilai a dan b
2) rumus f(x)
3) f(2) dan f(8)
4) nilai p jika f(p)= -8
5) nilai q jika f(q)= -12

1 Jawaban

  • f(x) = ax + b
    f(5) = 4 >>> 4 = 5a + b
    f(10) = 14 >>> 14 = 10a + b

    4 = 5a + b
    14 = 10a + b
    ------------------- -
    -10 = -5a
    a = 2

    maka,
    4 = 5a + b
    4 = 10 + b
    b = -6

    1) a = 2, b = -6
    2) f(x) = 2x - 6
    3) f(2) = -2 , f(8) = 10
    3) f(p) = -8
    -8 = 2p - 6
    2p = -2
    p = -1

    4) f(q) = -12
    -12 = 2q - 6
    2q = -6
    q = -3

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