To find the value of [tex]\( b(-10) \)[/tex] for the function [tex]\( b(x) = |x + 4| \)[/tex], follow these steps:
1. Substitute the given value [tex]\( x = -10 \)[/tex] into the function [tex]\( b(x) \)[/tex]:
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
2. Simplify the expression inside the absolute value:
[tex]\[
-10 + 4 = -6
\][/tex]
3. Take the absolute value of the result:
[tex]\[
|-6| = 6
\][/tex]
Therefore, [tex]\( b(-10) = 6 \)[/tex].
The correct answer is [tex]\( \boxed{6} \)[/tex].
