To solve the problem, we need to evaluate the function \( g(x) = 11 - 3x \) at \( x = -6 \). Follow these steps:
1. Write down the function:
[tex]\[
g(x) = 11 - 3x
\][/tex]
2. Substitute \( x = -6 \) into the function:
[tex]\[
g(-6) = 11 - 3(-6)
\][/tex]
3. Simplify the expression within the parentheses:
[tex]\[
g(-6) = 11 - (-18)
\][/tex]
4. Subtracting a negative number is the same as adding the positive counterpart:
[tex]\[
g(-6) = 11 + 18
\][/tex]
5. Add the numbers together:
[tex]\[
g(-6) = 29
\][/tex]
So, \( g(-6) \) is:
[tex]\[
\boxed{29}
\][/tex]
