Matematika

Pertanyaan

jika diketahui fungsi f(x)=ax+b dengan f(3)=13 dan f(5)=25,maka nilai. dari2a+3b adalah

2 Jawaban

  • f(3) = 3a + b = 13
    f(5) = 5a + b = 25

    5a + b = 25
    3a + b = 13
    __________ -
    2a = 12
    a = 12/2
    a = 6

    3(6) + b = 13
    18 + b = 13
    b = 13 - 18
    b = -5

    2a + 3b
    = 2(6) + 3(-5)
    = 12 - 15
    = -3
  • f(x) = ax + b

    f(3) = a(3) + b
    13 = 3a + b

    f(5) = a(5) + b
    25 = 5a + b

    eliminasi
    5a + b = 25
    3a + b = 13 [ - ]
    2a = 12
    a = 12/2 = 6

    13 = 3(6) + b
    13 = 18 + b
    13-18 = b
    b = -5

    jadi, 2A +3b = 12 + (-15) = -3

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