To find the value of [tex]\( b(x) \)[/tex] at [tex]\( x = -10 \)[/tex], we need to evaluate [tex]\( b(-10) \)[/tex] for the function [tex]\( b(x) = |x + 4| \)[/tex].
1. Start by substituting [tex]\( x \)[/tex] with [tex]\(-10\)[/tex] in the expression:
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
2. Simplify the expression inside the absolute value:
[tex]\[
b(-10) = |-6|
\][/tex]
3. The absolute value of [tex]\(-6\)[/tex] is 6, as the absolute value function removes any negative sign:
[tex]\[
b(-10) = 6
\][/tex]
Therefore, [tex]\( b(-10) \)[/tex] is [tex]\(\boxed{6}\)[/tex].
