Tolong nomor 3 dan 4 makasih
Matematika
SMARTESTk
Pertanyaan
Tolong nomor 3 dan 4 makasih
1 Jawaban
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1. Jawaban prianandalbs
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