Matematika

Pertanyaan

suatu fungsi di rumuskan f (x) = a+b jika di ketahui f (3) =15 dan f(5) =20 tentukan bentuk fungsinya

2 Jawaban

  • Materi Fungsi

    f(x) = ax + b
    f(3) = 3a + b = 15
    f(5) = 5a + b = 20
    ------------------------ -
    -2a = -5
    a = 5/2, jadi
    3(5/2) + b = 15
    b = 15 - 15/2 = 15/2
    Jadi,
    f(x) = (5/2)x + 15/2
  • f (x) = ax +b

    f(3) = 3a + b = 15
    f(5) = 5a + b = 20
    ——--—————— -
    -2a = -5
    a = 5/2

    5a + b = 20
    b = 20 - 25/2
    b = 40-25/2 = 15/2


    persamaan
    f(x) = 5/2x + 15/2 = (5x+15)/2


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