Jawab no 8 Soal berupa lampiran
Matematika
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Pertanyaan
Jawab no 8
Soal berupa lampiran
Soal berupa lampiran
1 Jawaban
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1. Jawaban Jkira
f(x) = 1 / √x^2-1
(fog)(x) = 1 / √x^2+6x+7
f(g(x)) = 1 / √x^2+6x+7
1 / √(g(x))^2-1 = 1 / √x^2+6x+7 kali silang
√(g(x))^2-1 = √x^2+6x+7 kedua ruas dikuadratkan
(g(x))^2 - 1 = x^2 + 6x + 7
(g(x))^2 = x^2 + 6x + 8
g(x) = √x^2 + 6x + 8
g(x+2) = √(x+2)^2 + 6(x+2) + 8
g(x+2) = √x^2 + 4x + 4 + 6x + 12 + 8
g(x+2) = √x^2 + 10x + 25
g(x+2) = √(x + 5)(x + 5) = x + 5