Matematika

Pertanyaan

diketahui f(x)=ax+b jika f(2)=-4 dan f(8)=20 maka f(15)=

2 Jawaban

  • f(x) = ax + b

    f(2) = 2a + b
    -4 = 2a + b .......(1)

    f(8) = 8a + b
    20 = 8a + b......... (2)

    eliminasi (1) (2)
    -4 = 2a + b
    20 = 8a + b
    _________-
    -24 = -6a
    a = -24 : -6
    a = 4

    substitusi a = 4 ke persamaan (1)
    2a + b = -4
    2(4) + b = -4
    8 + b = -4
    b = -4 - 8
    b = -12

    maka fungsinya f(x) = 4x - 12

    ditanyakan f(15)
    f(15) = 4(15) - 12 = 60 - 12 = 48
  • f (x)=ax+b
    f (2)=2a+b= -4
    f(8)=8a+b=20
    _______ _
    -6a= -24
    a= 4
    f (2)=2 (4)+b= -4
    8+b= -4
    b= -12
    f (x)=4x -12
    f (15)=4 (15)-12
    =60-12 = 48
    maaf kalo salah

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