Matematika

Pertanyaan

Jika f(x)=2x-1,g(x)=x^2-3x+1,dan (f o g) (p) =9,nilai p adalah

2 Jawaban

  • Cari rumus (f ○ g)(x) -nya dulu
    (f ○ g)(x)
    = f(g(x))
    = 2(x^2 - 3x + 1) -1
    = 2x^2 - 6x + 2 - 1
    = 2x^2 - 6x + 1

    (f ○ g)(p) = 2p^2 - 6p + 1
    9 = 2p^2 - 6p + 1
    0 = 2p^2 - 6p + 1 - 9
    2p^2 - 6p - 8 = 0
    2p^2 - 8p + 2p - 8 = 0
    2p(p - 4)+2(p - 4) = 0
    (2p + 2)(p - 4) = 0

    HP = {(-1,4)}

    Jadi, p = -1 atau p = 4
  • f(x) = 2x-1
    g(x) = x²-3x+1

    (fog)(p) = f[g(p)]
    9 = 2(p²-3p+1)-1
    9 = 2p²-6p+2-1
    9 = 2p²-6p+1
    0 = 2p²-6p+1-9
    0 = 2p²-6p-8
       = (2p-8)(p+1)
        p = 4 atau p = -1

    maaf ya kalo salah

Pertanyaan Lainnya