Matematika

Pertanyaan

F(x) = ax + b
F(1) = -1
F(3) = 5
Tentukan f (x) ?

2 Jawaban

  • f(x) = ax+b

    f(1)= a(1)+b
    -1 = a + b

    f(3) = a(3) + b
    5 = 3a+b

    3a+b=5
    a+b=-1
    ________-
    2a = 6
    a= 3

    3+b=-1
    b= -4

    f(x) = 3x - 4
  • f(x) = ax + b
    f(1) = a(1) + b
    => a + b = -1................(persamaan 1)
    f(3) = a(3) + b
    => 3a + b = 5................ (persamaan 2)

    => a + b = -1
        3a + b = 5 _
    -2a = -6
    a = -6/-2 = 3

    Substitusi nilai a ke persamaan 1
    a + b = -1
    3 + b = -1
    b = -1 - 3
    = -4

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

    Semoga bermanfaat ^_^

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