Matematika

Pertanyaan

Suatu fungsi linear didefinisikan dengan f(x) = ax-b . jika pada fungsi tersebut diketahui f(-2) = -8 dang f(5) = 13. tentukan nilai a dan b

1 Jawaban

  • 1. f(-2) = ax-b = -8
              = a.-2 -b = -8
              = -2a -b = -8
        f(5)  = ax-b = 13
              = a.5 -b = 13
              = 5a -b = 13

    2. 5a -b = 13
       -2a -b = -8
    ____________-
        7a    = 21
          a    =  3

    3. -2a -b = -8
        -2.3 -b = -8
        -6 -b = -8
            -b = -8+6
            -b = -2

    Jadi, nilai a dan b : a = 3 , b = -2 , ax-b = 3x-2
    Bukti = 
     f(-2) = 3x-2
           = 3.-2 -2
           = -6 -2
           = -8

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