Matematika

Pertanyaan

diketahui fungsi f(x)= ax + b jika f (2)= -2 dan f (3) =13 tentukan nilai f (4)

2 Jawaban

  • f(x) = ax + b                                       f(x) = ax + b
    f(2) = a(2) + b                                    f(3) = a(3) + b
      -2 = 2a + b                                       13  = 3a + b

    2a +b = -2
    3a + b =13
    ---------------  - 
          -a  =  -15
           a = 15

    2a + b = -2
    2(15) + b = -2
       30 + b = -2
             b = -32
  • f(x) = ax + b

    f(2) = 2a + b = -2
    f(3) = 3a + b = 13
            ------------------- (-)
                       a = 15
    subtitusikan nilai a = 15 ke
    2a + b = -2
    2(15) + b = -2
    b = -2 - 30
    b = -32

    f(x) = 15x - 32
    f(4) = 15(4) - 32
          = 60 - 32
          = 28

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