Matematika

Pertanyaan

f(×)=ax+b jika f(2)=8 f(4)=12 tentukan f(10)

2 Jawaban

  • f(x) = ax+b
    f(2) = 2a + b = 8 ( persamaan 1 )
    f(4)= 4a + b = 12 ( persamaan 2)

    persamaan 1 dan 2 di eliminasi
    2a + b = 8
    4 a +b = 12 -

    -2 a= -4
    a = -4/-2
    a = 2

    2a+b=8
    2x2 +b = 8
    4+b= 8
    b = 8-4
    b = 4

    f(10) = ax + b
    = 2 (10) + 4
    = 20 + 4
    = 24
  • f(x) = ax + b

    f(2) = 8
    8 = 2a + b ... (1)

    f(4) = 12
    12 = 4a + b ... (2)

    Eliminasi b
    8 = 2a + b
    12 = 4a + b
    ------------------ (-)
    -4 = -2a
    a = 2

    Substitusi a = 2 ke (1)
    8 = 2(2) + b
    b = 8 - 4
    b = 4

    f(x) = 2x + 4
    f(10) = 2(10) + 4
    f(10) = 24

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