Answer :
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]
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]
