Matematika

Pertanyaan

Diketahui fungsi f(x) = ax + b. Jika f(-4) = 6 dan f(6) = -4, maka tentukan :
a. Nilai a dan b!
b. Nilai f(2) !

d jwb kk..

2 Jawaban

  • Mapel : Matematika
    Bab : Fungsi

    f(x) = ax + b
    f(-4) = -4a + b = 6
    f(6)  = 6a + b = -4
    ------------------------  -
                 -10a = 10
                      a = 10/-10
                      a = -1

        6a + b = -4
    6(-1) + b = -4
        -6 + b = -4
               b = -4 + 6
               b = 2

    f(x) = ax + b
    f(2) = -2(2) + 2
    f(2) = -2 + 2
    f(2) = 0
  • a.
    f(-4) = a(-4) + b f(6) = a(6) + b
    *6 = -4a + b *-4 = 6a + b

    (6 = -4a)-(-4 = 6a) = (10 = -10a)
    a = -1

    *6 = -4a + b
    6 = -4(-1) + b
    6 = 4 + b
    2 = b

    f(2) = ax + b
    f(2) = (-1)(2) + (2)
    f(2) = -2 + 2
    f(2) = 0

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