To solve for [tex]\( b(-10) \)[/tex] given the function [tex]\( b(x) = |x + 4| \)[/tex], we need to substitute [tex]\( x = -10 \)[/tex] into the function and follow the steps:
1. Substitute [tex]\(-10\)[/tex] for [tex]\( x \)[/tex] in the function:
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
2. Perform the addition inside the absolute value:
[tex]\[
-10 + 4 = -6
\][/tex]
3. Take the absolute value of [tex]\(-6\)[/tex]:
[tex]\[
|-6| = 6
\][/tex]
Therefore, the value of [tex]\( b(-10) \)[/tex] is [tex]\( 6 \)[/tex].
Thus, the correct answer is:
6
