To determine the value of the function [tex]\( f(x) = -x + 4 \)[/tex] when [tex]\( x = -2 \)[/tex], follow these steps:
1. Identify the function: The function provided is [tex]\( f(x) = -x + 4 \)[/tex].
2. Substitute the given value of [tex]\( x \)[/tex]: Replace [tex]\( x \)[/tex] in the function with [tex]\(-2\)[/tex].
3. Perform the substitution:
[tex]\[
f(-2) = -(-2) + 4
\][/tex]
4. Simplify the expression:
[tex]\[
f(-2) = 2 + 4
\][/tex]
5. Add the numbers:
[tex]\[
f(-2) = 6
\][/tex]
So, the value of the function [tex]\( f(x) = -x + 4 \)[/tex] when [tex]\( x = -2 \)[/tex] is [tex]\( \boxed{6} \)[/tex].
