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Thus, the maximum possible area is: - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 The function \( f(x) = \frac{2x - 1}{x + 4} \) has a horizontal asymptote at what value?

📌 For rational functions, horizontal asymptote depends on degrees. Both numerator and denominator degree 1.

📌 As \( x \to \infty \), \( f(x) \to \frac{2}{1} = 2 \)

📌 #### Horizontal asymptote: \( y = 2 \)

📌 Solve for \( x \): \( \log_2(x + 3) + \log_2(x - 1) = 3 \)

📌 Use product rule: \( \log_2[(x+3)(x-1)] = 3 \)

📌 So \( (x+3)(x-1) = 2^3 = 8 \)

📌 Expand: \( x^2 + 2x - 3 = 8 \) → \( x^2 + 2x - 11 = 0 \)

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