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The problem asks to determine the value of \( f(2) \) for the given function:

\[
f(x) = \frac{2x + 3}{x^2 - 1}
\]

### Steps to solve for \( f(2) \):

1. **Substitute \( x = 2 \) into the function**:
   \[
   f(2) = \frac{2(2) + 3}{2^2 - 1}
   \]

2. **Simplify the numerator and denominator**:
   - Numerator: \( 2(2) + 3 = 4 + 3 = 7 \)
   - Denominator: \( 2^2 - 1 = 4 - 1 = 3 \)

3. **Calculate the result**:
   \[
   f(2) = \frac{7}{3}
   \]

None of the provided options directly match \( \frac{7}{3} \), which is approximately 2.33. This suggests that the exact value \( \frac{7}{3} \) might not be listed among the options, which are integers. Please check if there is an error in options, or if there was an alternative step.

Would you like further details on this solution or additional help? Here are related questions that could expand on this topic:

1. How do we handle undefined points in rational functions?
2. What is the domain of the function \( f(x) = \frac{2x + 3}{x^2 - 1} \)?
3. What would happen if we substitute other values, like \( x = 1 \) or \( x = -1 \)?
4. How would we graph this rational function?
5. How do vertical and horizontal asymptotes affect the behavior of rational functions?

**Tip**: When simplifying functions, always ensure that the denominator is not zero to avoid undefined values.

Dada la siguiente función: f(x) = (2x + 3) / (x^2 - 1). Selecciona ¿Cuál es el valor de f(2)? en las siguientes funciones.

Learn how to evaluate f(2) for the rational function f(x) = (2x + 3) / (x^2 - 1). This problem involves algebraic substitution and simplification techniques, suitable for high school students in Grades 9-12.

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