Matematika

Pertanyaan

pada pemetaan f : x ax + b, jika f(3) = 10 & f(2) = -16, tentukan :
* nilai a dan b
* tentukan rumus fungsi
* maka f(-4)

tolong bantuannya ya please

2 Jawaban

  • f(x) = ax + b

    f(3) = 3a + b = 10
    f(2) = 2a + b = -16
    _______________-
    a = 26

    3a + b = 10
    3(26) + b = 10
    78 + b = 10
    b = 10 - 78
    b = - 68

    Rumus fungsi
    f(x) = 26x - 68

    f(-4) = 26(-4) - 68
    = -104 -68
    = -172
  • f(x) = ax + b

    f(3) = 3a + b
    10 = 3a + b

    f(2) = 2a + b
    -16 = 2a + b

    Eliminasi
    3a + b = 10
    2a + b = -16
    __________-
    a = 26

    Subtitusi
    3a + b = 10
    b = 10 - 3(26)
    b = -68

    f(x) = ax + b
    f(x) = 26x - 68

    f(-4) = 26(-4) - 68
    f(-4) = -104 - 68
    f(-4) = -172

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