Matematika

Pertanyaan

Tolong nomor 3 dan 4 makasih
Tolong nomor 3 dan 4 makasih

1 Jawaban

  • NOMOR 3
    f(2) = 4
    f(3) = 2

    f(n-1) = 3f(n-3) + 2f(n-2)

    misalkan n = 5
    f(5-1) = 3f(5-3) + 2f(5-2)
    f(4) = 3 f(2) + 2 f(3)
    f(4) = 3 . 4 + 2 . 2
    f(4) = 12 + 4
    f(4) = 16

    misalkan n = 6
    f(6-1) = 3 f(6-3) + 2 f(6-2)
    f(5) = 3 f(3) + 2 f(4)
    f(5) = 3 . 2 + 2. 16
    f(5) = 6 + 32
    f(5) = 38.......D

    NOMOR 4
    P(x-1) = 2x² + x - 1
    P(x-1) = 2(x - 1)² + 5 (x-1) + 2
    P(x) = 2x² + 5x + 2

    Q(x+1) = P(x)
    Q(x+1) = 2x² + 5x + 2
    Q(x+1) = 2(x+1)² + (x+1) - 1
    Q(x) = 2x² + x - 1

    Q(x-2) = 2(x-2)² + (x-2) - 1
    Q(x-2) = 2x² - 8x + 8 + x - 2 - 1
    Q(x - 2) = 2x² -7x + 5 .........E