Matematika

Pertanyaan

Diketahui f(x)=ax+b jika f(2)=4 fdan f(5)=13 maka nilai f(10) adalah

2 Jawaban

  • Fungsi

    f(x) = ax + b


    f(2) = a2 + b
    f(2) = 2a + b
    4 = 2a + b

    f(5) = a5 + b
    f(5) = 5a + b
    13 = 5a + b

    2a + b = 4
    5a + b = 13 
    ---------------- [-]
    -3a = -9
    a = 3

    2a + b = 4
    2(3) + b = 4
    6 + b = 4
    b = 4 - 6
    b = -2

    f(x) = 3x + (-2)
    f(x) = 3x - 2

    f(10) = 3(10) - 2
    f(10) = 30 - 2
    f(10) = 28

    *Thanks


  • f(x) = ax + b

    f(2) = a(2) + b
    4 = 2a + b

    f(5) = a(5) + b
    13 = 5a + b

    13 = 5a + b
    4 = 2a + b
    ----------------- -
    9 = 3a
    a = 3

    f(2) = 3(2) + b
    4 = 6 + b
    b = (-2)

    f(10) = 3(10) -2
    = 30 - 2
    = 28

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