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Home » Assume $ f(x) = ax^2 $. Test: - Belip

Assume $ f(x) = ax^2 $. Test: - Belip

📅 May 2, 2026 👤 scraface

May 02, 2026

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\[ \int (4x^3 - 2x + 1) \, dx = x^4 - x^2 + x + C \].
#### \( x^4 - x^2 + x + C \)
Find the inverse of the function \( f(x) = rac{2x + 3}{x - 1} \).
Set \( y = rac{2x + 3}{x - 1} \).
Swap \( x \) and \( y \): \( x = rac{2y + 3}{y - 1} \).
Cross-multiply: \( x(y - 1) = 2y + 3 \).
Expand: \( xy - x = 2y + 3 \).
Rearrange: \( xy - 2y = x + 3 \).
Factor: \( y(x - 2) = x + 3 \).
Solve for \( y \): \( y = rac{x + 3}{x - 2} \).

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