Matematika

Pertanyaan

diketahui g(x-2) = 2x +7 dan (h o g) (x) = 4x²+44x+1. nilau h(10) =

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    g(x - 2) = 2x + 7
    g(x + 2 - 2) = 2 (x + 2) + 7
    g(x) = 2x + 4 + 7
    g(x) = 2x + 11

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

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

    4x² + 44x + 1
    = 4 . (-1/2)² + 44 . (-1/2) + 1
    = 4 . 1/4 - 22 + 1
    = 1 - 22 + 1
    = -20

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