Matematika

Pertanyaan

Diketahui auatau fungsi dengan rumus f(x)=ax+b dengan f(1)=-2dan f(4)=19,maka nilai dari f(-2)=...

2 Jawaban

  • f(1) = a(1) + b
    -2 = a + b

    f(4) = a(4) + b
    19 = 4a + b

    a + b = -2
    4a + b = 19
    ---------------- (-)
    -3a = -21
    a = 7

    a + b = -2
    7 + b = -2
    b = -9

    f(-2) = a(-2) + b = 7(-2) + (-9) = -14 + (-9) = -23
  • Mapel : Matematika

    Kelas : 10

    Bab : Relasi dan Fungsi
    =============================


    f(x) = ax + b

    → f(1) = -2

    → f(4) = 19


    Ditanya → f(-2)

    Jawaban :
    =========

    → f(1) = a + b = -2

    → f(4) = 4a + b = 19
    .................................... -

    -3a = -21

    a = 21/3
    a = 7 ✔

    → a + b = -2
    → 7 + b = -2
    → b = -2 - 7
    → b = -9


    Maka,
    f(-2) = 7(-2) + (-9)

    f(-2) = -14 - 9

    f(-2) = -23

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