Matematika

Pertanyaan

g(x)=px+q g°g(x)=16x-15

1 Jawaban

  • Fungsi
    • komposisi

    g(x) = px + q

    g(g(x)) = 16x - 15
    p(px + q) + q = 16x - 15
    p²x + pq + q = 16x - 15

    p² = 16
    p = 4 atau p = -4

    • p = 4
    pq + q = 5
    q(p + 1) = 5
    q(4 + 1) = 5
    5q = 5
    q = 1 ✔

    • p = -4
    q(p + 1) = 5
    -3q = 5
    q = -5/3

    g(x) = px + q
    g(x) = 4x + 1 ✔

    atau
    g(x) = -4x - 5/3 ✔

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