tentukan invers dari fungsi f(x)=√2x+1-3/4 jawab ya ka
Matematika
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Pertanyaan
tentukan invers dari fungsi f(x)=√2x+1-3/4
jawab ya ka
jawab ya ka
1 Jawaban
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1. Jawaban Anonyme
FUNgsi InveRs
f(x) = y = √(2x + 1) - 3/4
√(2x + 1) = y + 3/4
2x + 1 = (y + 3/4)²
2x + 1 = (1/4 (4y + 3))²
2x + 1 = (4y + 3)²/16
2x = 1 - (4y + 3)²/16
2x = (16 - (4y + 3)²)/16
x = (16 - (16y² + 24x + 9))/(2 × 16)
x = (-16y² - 24x + 7)/32
f^-1 (x) = (-16x² - 24x + 7)/32