Sure, let's find [tex]\( f(-6) \)[/tex] for the function [tex]\( f(x) = -x + 2 \)[/tex].
1. Identify the function: The function is given by [tex]\( f(x) = -x + 2 \)[/tex].
2. Substitute [tex]\( x \)[/tex] with [tex]\(-6\)[/tex]: We need to find the value of the function when [tex]\( x \)[/tex] is [tex]\(-6\)[/tex].
[tex]\[
f(-6) = -(-6) + 2
\][/tex]
3. Simplify inside the function: Calculate the result of the substitution:
[tex]\[
-(-6) = 6
\][/tex]
4. Add 2 to the result: Now, add 2 to the calculated value:
[tex]\[
6 + 2 = 8
\][/tex]
5. Conclusion: Hence, [tex]\( f(-6) = 8 \)[/tex].
So, [tex]\( f(-6) = 8 \)[/tex].
