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The image shows a mathematical expression:

\[
\frac{1}{2x + 1}
\]

Would you like a detailed explanation on how to work with this expression or to solve any further related problems? Let me know!

Here are 5 related questions:
1. How do you find the derivative of \(\frac{1}{2x + 1}\)?
2. What happens if you solve for \(x\) in the equation \(\frac{1}{2x + 1} = 0\)?
3. Can this expression be integrated with respect to \(x\)?
4. How can you solve an equation involving \(\frac{1}{2x + 1}\) in terms of limits as \(x\) approaches infinity?
5. What happens when you compose this function with another function, say \(f(x) = x^2\)?

**Tip:** When solving rational functions like \(\frac{1}{2x + 1}\), always consider its domain, i.e., for which values of \(x\) the denominator does not equal zero.

What is the simplified form or solution to the expression 1 / (2x + 1)?

Explore the rational function 1 / (2x + 1), its domain, and related algebraic properties. Learn how to simplify and work with rational expressions in this detailed explanation. Suitable for students in Grades 9-12.

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