Tolong bantu saya nomor 8&9 makasih
Matematika
christina2706
Pertanyaan
Tolong bantu saya nomor 8&9 makasih
1 Jawaban
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1. Jawaban Anonyme
jawab
8. f(x) = x² +ax + b
f(2) = 5 → 2² + a(2) + b = 5 → 4 + 2a + b = 5
2a + b = 1
f(1) = 0 → 1² + a(1) + b = 0 → 1 + a + b = 0
a + b = -1
2a + b = 1
a + b = -1 ||(-)
a = 2
a + b = -1
2 + b = - 1
b = - 3
a. nilai a dan b
a = 2 , b = - 3
b. f(x) = x² + ax + b
f(x) = x² + 2x - 3
c. f(4) = 4² + 2(4) - 3
f(4) = 16 +8 - 3
f(4) = 21
9. g(x) = x² + px + q
g(3) = -8 → 3² +p(3) + q = -8 → 9 + 3p + q = -8
3p + q = - 17
g(-2) = 7 → (-2)² +p(-2) + q = 7 → 4 - 2p + q = 7
- 2p + q = 3
3p + q = -17
-2p + q = 3 | (-)
5p = -20
p = - 4
- 2p + q = 3 → -2(-4) + q = 3 → 8 + q = 3
q = - 5
a. nilai p dn q → p = -4 , q = - 5
b. g(x) = x² + px + q → g(x) = x² - 4x - 5
c. g(-6) = (-6)² -4(-6) - 5 = 36 + 24 - 5 = 55
g(4) = 4² - 4(4) - 5 = 16 - 16 - 5 = 5
g(-6) + g(4) = 55 + 5 = 60