Matematika

Pertanyaan

fungsi f ditentukan dengan rumus f(x) = ax +b. Bila f(4) = 2 dan f(6) = 9, maka nilai 3a-2b adalah....

2 Jawaban

  • F(4) = 4a+b=2
    F(6)= 6a+b=9
    ..................... _
    A= 7/2
    4a+b=2
    4(7/2) + b = 2
    14 +b =2
    B= - 12
    Maka nilai 3a - 2b = 3(7/2) - 2(-12) =10,5 +24 = 34,5
  • f(x) = ax + b
    f(4) = 2 》a.4 + b = 2 => 4a + b = 2
    f(6) = 9 》a.6 + b = 9 => 6a + b = 9

    Eliminasi :
    4a + b = 2
    6a + b = 9
    ---------------- -
    -2a + 0 = -7
    -2a = -7
    a = -7 : -2
    a = 3,5

    Subtitusi :
    a = 3,5
    4a + b = 2
    4.3,5 + b = 2
    14 + b = 2
    b = 2 - 14
    b = -12
    jadi, nilai 3a - 2b
    => 3.3,5 - 2.-12
    10,5 - (-12) => 10,5 + 24 = 34,5

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