Matematika

Pertanyaan

fungsi dinyatakan dg rumus f(x)=x*+ax+b dg fungsi f(2)=5 dan f(1)= 0 tentukan nilai a dan b, bentuk fungsinya, nilai f(4)

2 Jawaban

  • f(x) = x² + ax + b
    f(2) = 4 + 2a + b = 5
    f(1) = 1 + a + b = 0

    4 + 2a + b = 5
    2a + b = 5 - 4
    2a + b = 1

    1 + a + b = 0
    a + b = 0 - 1
    a + b = - 1

    2a + b = 1
    a + b = - 1
    _______—
    a = 2

    a + b = - 1
    2 + b = - 1
    b = - 1 - 2
    b = - 3

    f(4) :
    x² + ax + b
    = 4² + 8 - 3
    = 16 + 5
    = 21

    Maaf Kalau Salah
  • f(2) = 2² + 2a+ b
    5 = 4 + 2a+b
    1 = 2a+b..1)

    f(1) = 1²+a+b
    0 = 1+a+b
    -1 = a+b...2)

    1 = 2a+b
    -1= a+ b
    --------- -
    2 = a ⇒ -1 = 2 +b 
                  -3 = b
    f(4) = 4²+ 2.4+ (-3)= 16+8-3 = 21

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