Matematika

Pertanyaan

funsi f (x) = ax+b, jika f (2) = -2 dan f (-3) = 13 maka nilai f (4) adalah

2 Jawaban

  • langsung aja y

    f(2) = 2x + b = -2
    f(-3) = -3x + b = 13
    _____________-
    5x = -15
    x = -3

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

    f(x) = ax + b
    f(x) = -3x + 4

    f(4) = -3(4) + 4
    f(4) = -12 + 4
    f(4) = -8

    semoga berguna +_+
  • f (x) = ax + b

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

    f (-3) = 13
    -3a + b = 13.........(pers.2)

    Eliminasi pers1 dan 2
    2a + b = -2
    -3a + b = 13
    _________ _
    5a = -15
    a = -15/5
    a = -3

    Substitusi a = -3 ke pers1 atau pers.2
    2a + b = -2
    2 (-3) + b = -2
    -6 + b = -2
    b = -2 + 6
    b = 4

    Rumus f (x) :
    f (x) = ax + b
    f (x) = -3x + 4

    Nilai f (4)
    = -3 (4) + 4
    = -12 + 4
    = -8

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