To find [tex]\( b(-10) \)[/tex] for the given function [tex]\( b(x) = |x + 4| \)[/tex], follow these steps:
1. Start with the function definition:
[tex]\[
b(x) = |x + 4|
\][/tex]
2. Substitute [tex]\( x = -10 \)[/tex] into the function:
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
3. Perform the addition inside the absolute value:
[tex]\[
-10 + 4 = -6
\][/tex]
4. Apply the absolute value to the result:
[tex]\[
|-6| = 6
\][/tex]
Therefore, [tex]\( b(-10) = 6 \)[/tex] and the correct answer is [tex]\( 6 \)[/tex].
