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The given function is:

\[
f(x) = -2 + \log(x + 1)
\]

The term "A.V." in the context of the problem refers to the vertical asymptote ("Asymptota Vertical" in Spanish).

### To find the vertical asymptote:
The logarithmic function \(\log(x+1)\) has a vertical asymptote when the argument of the logarithm approaches zero, i.e., when:

\[
x + 1 = 0 \implies x = -1
\]

Therefore, the vertical asymptote of the function \(f(x) = -2 + \log(x+1)\) occurs at:

\[
x = -1
\]

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How do you find horizontal asymptotes for logarithmic functions?
2. What is the domain of \(f(x) = \log(x + 1)\)?
3. How does shifting affect the graph of a logarithmic function?
4. What are the general properties of logarithmic functions?
5. How do you find the vertical asymptote of a rational function?

**Tip:** The vertical asymptote of a logarithmic function always occurs where the argument inside the logarithm equals zero.

La ecuación de la A.V. de la función f(x) = -2 + log(x + 1) es:

Understand how to find the vertical asymptote of the logarithmic function f(x) = -2 + log(x + 1). This step-by-step solution explains the process, highlighting key concepts such as logarithmic functions and vertical asymptotes. Suitable for students in Grades 9-12.

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