Matematika

Pertanyaan

diketahui g(x-2)=2x+7 dan (hog) (x) =4x kuadrat+44x+1. Nilai h(10)

1 Jawaban

  • Cari g(x).
    g(x - 2) = 2x + 7
    g(x) = 2(x + 2) + 7
    g(x) = 2x + 4 + 7
    g(x) = 2x + 11

    (h o g)(x) = 4x² + 44x + 1
    h(g(x)) = 4x² + 44x + 1
    h (2x + 11) = 4x² + 44x + 1

    h(10) ?

    2x + 11 = 10
    2x = -1
    x = -½

    h(10) = 4(-½)² + 44(-½) + 1 = 1 - 22 + 1 = -20

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