To find \( g(5) \) for the function \( g(x) = \frac{6}{x - 3} \), substitute \( x = 5 \) into the function.

\[
g(5) = \frac{6}{5 - 3}
\]
\[
g(5) = \frac{6}{2}
\]
\[
g(5) = 3
\]

So, \( g(5) = 3 \).

Would you like any further details or explanations?

Here are 8 related questions you might consider:

1. What is \( g(4) \) for the function \( g(x) = \frac{6}{x - 3} \)?
2. How would you find \( g(x) = 1 \) for the function \( g(x) = \frac{6}{x - 3} \)?
3. What is the domain of the function \( g(x) = \frac{6}{x - 3} \)?
4. How does the function \( g(x) = \frac{6}{x - 3} \) behave as \( x \) approaches 3?
5. What is the range of the function \( g(x) = \frac{6}{x - 3} \)?
6. How would you solve \( g(x) = 2 \) for the function \( g(x) = \frac{6}{x - 3} \)?
7. What happens to \( g(x) = \frac{6}{x - 3} \) as \( x \) approaches infinity?
8. How would you graph the function \( g(x) = \frac{6}{x - 3} \)?

**Tip:** Be mindful of the function's domain, especially when there are expressions that could lead to division by zero.

Learn how to evaluate the function g(x) = 6/(x-3) at x = 5. Understand the concept of rational functions and substitution in mathematics. Suitable for high school students.

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