To solve the expression [tex]\( b(x) = |x + 4| \)[/tex] and find [tex]\( b(-10) \)[/tex], we need to substitute [tex]\( x \)[/tex] with [tex]\( -10 \)[/tex].
1. Start with the expression [tex]\( b(x) = |x + 4| \)[/tex].
2. Substitute [tex]\( x \)[/tex] with [tex]\( -10 \)[/tex]:
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
3. Simplify inside the absolute value:
[tex]\[
b(-10) = |-6|
\][/tex]
4. Evaluate the absolute value:
[tex]\[
b(-10) = 6
\][/tex]
So, [tex]\( b(-10) \)[/tex] is [tex]\( 6 \)[/tex].
The correct answer is [tex]\( 6 \)[/tex].