Matematika

Pertanyaan

suatu fungsi ditentukan dengan rumus f(x) = ax+b jika f(3) = 1 dan f(-3) = -11 maka nilai a+b adalah

2 Jawaban

  • f(3) = a(3) + b
    = 3a + b

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

    3a + b = 1
    -3a + b = -11 (eliminasi)
    6a = 12
    a = 2

    -3a + b = -11
    -3(2) + b = -11
    -6 + b = -11
    -6 + 11 = b
    -5 = b

  • f(3) = 3a + b = 1
    f(-3) = -3a + b = -11
    -------------------------
    6a = 12
    a = 2
    f(3) = 3.2 + b = 1
    = 6 + b = 1
    = b = 1 - 6
    b = -5

    a + b = 2 + -5
    = -3

Pertanyaan Lainnya