g(x)=px+q g°g(x)=16x-15
Matematika
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Pertanyaan
g(x)=px+q g°g(x)=16x-15
1 Jawaban
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1. Jawaban Anonyme
Fungsi
• komposisi
g(x) = px + q
g(g(x)) = 16x - 15
p(px + q) + q = 16x - 15
p²x + pq + q = 16x - 15
p² = 16
p = 4 atau p = -4
• p = 4
pq + q = 5
q(p + 1) = 5
q(4 + 1) = 5
5q = 5
q = 1 ✔
• p = -4
q(p + 1) = 5
-3q = 5
q = -5/3
g(x) = px + q
g(x) = 4x + 1 ✔
atau
g(x) = -4x - 5/3 ✔