Matematika

Pertanyaan

suatu fungsi g(x)=p x + q.jika g (-4)=9 dan g (-1) =3,maka tentukan :
a.nilai p dan q
b.bentuk fungsi g

2 Jawaban

  • g(x)=p x + q
    g(-1)=3
    -p+q =3

    [tex]p= \frac{9-3}{-4-(-1)} = \frac{6}{-3}=-2 [/tex]
    -p+q=3
    -(-2)+q=3
    2+q=3
    q=3-2
    q=1

    g(x) = -2x+1


  • -4p+q = 9
    -p+q = 3
    ------------------ -
    -3p = 6
    p = 6/-3
    p = -2


    -4p+q = 9
    -4.-2+q = 9
    8+q = 9
    q = 9-8
    q = 1


    jadi, p = -2 dan q = 1

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