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The question asks for the location of the vertical asymptote of the function \( g(x) = \frac{2}{x + 6} \).

### Vertical Asymptotes:
Vertical asymptotes occur where the denominator of a rational function equals zero, as this makes the function undefined.

To find the vertical asymptote, set the denominator equal to zero:
\[
x + 6 = 0
\]
Solving for \( x \):
\[
x = -6
\]

### Conclusion:
The vertical asymptote is at \( x = -6 \), which corresponds to option **A**.

Let me know if you'd like more details on vertical asymptotes, or if you have any questions!

### Related Questions:
1. How do you find horizontal asymptotes for rational functions?
2. What is the significance of a vertical asymptote in a graph?
3. Can a function have multiple vertical asymptotes?
4. How do you handle removable discontinuities in rational functions?
5. How does the degree of the numerator and denominator affect asymptotes?

### Tip:
Always check for both vertical and horizontal asymptotes when analyzing the behavior of rational functions, as they provide insights into the function's limits.

Where is the vertical asymptote of g(x) = 2 / (x + 6)?

Explore how to locate the vertical asymptote of the rational function g(x) = 2/(x + 6). This example demonstrates setting the denominator to zero to find where the function becomes undefined, indicating the presence of a vertical asymptote. Suitable for advanced high school mathematics students.

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