We are given the function $g(x) = -x + 4$ and are asked to find $g(-6)$.

To do this, we substitute $x = -6$ into the function $g(x)$:

$g(-6) = -(-6) + 4$

Simplifying:

$g(-6) = 6 + 4 = 10$

So, $g(-6) = 10$.

Let me know if you want further explanation or have questions.

Here are 5 related questions:

1. How would you solve $g(3)$ for $g(x) = -x + 4$?
2. Can you find the inverse of the function $g(x) = -x + 4$?
3. What is the domain and range of the function $g(x) = -x + 4$?
4. How do you determine whether $g(x) = -x + 4$ is a one-to-one function?
5. What does the graph of $g(x) = -x + 4$ look like?

Tip: When working with linear functions, remember that substituting values into the function will always yield the corresponding y-values on the graph of that function.