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The given equation is:

\[
y = \frac{5 + 7x}{3 + 4x}
\]

Would you like me to:
1. Find the derivative \(\frac{dy}{dx}\)?
2. Determine the asymptotes of the function?
3. Analyze the domain and range?
4. Find specific values of \( y \) for given \( x \)?
5. Solve for \( x \) in terms of \( y \)?

Let me know what details you need! 

**Tip:** A rational function like this may have vertical asymptotes where the denominator equals zero.

Find the properties of the equation y = (5 + 7x) / (3 + 4x).

Explore the properties of the rational function y = (5 + 7x) / (3 + 4x), including its derivative, asymptotes, domain, and range. Understand how to analyze rational functions with step-by-step explanations, suitable for Grades 11-12.

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