Invers f (x)=4x^2+2x-3
Matematika
vickyravenskyo
Pertanyaan
Invers f (x)=4x^2+2x-3
1 Jawaban
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1. Jawaban dedenkusnandar
f(x) = 4x² + 2x - 3
y = 4x² + 2x - 3
4x² + 2x = y + 3
4x² + 2x + ¼ = y + 3 + ¼
(2x + ½)² = y + 13/4
2x + ½ = ± √y + 13/4
2x = -½ ± √y + 13/4
x = (-½ ± √y + 13/4) / 2
f-¹(x) = (-½ ± √x + 13/4) / 2
Atau
f-¹(x) = (-1 ± √4x + 13) / 4