F(x) = x² + 6x - 18 tentukan x jika f-¹ (x) = 2
Matematika
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Pertanyaan
F(x) = x² + 6x - 18 tentukan x jika f-¹ (x) = 2
1 Jawaban
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1. Jawaban 4452mot
F(x) = x² + 6x - 18
y = x² + 6x - 18
x² + 6x = y + 18
(x² + 6x + 9) = y + 18 + 9
(x + 3)² = y + 27
x + 3 = + √y + 27
x = -3 + √y + 27
f-¹(x) = -3 + √x + 27
tentukan x
jika f-¹ (x) = 2
f-¹(x) = -3 + √x + 27
2 = -3 + √x + 27
2 + 3 = √x + 27
5 = √x + 27
5² = x + 27
25 = x + 27
x = 25 - 27
x = -2