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Given [tex]\( b(x) = |x + 4| \)[/tex], what is [tex]\( b(-10) \)[/tex]?

A. [tex]\(-10\)[/tex]
B. [tex]\(-6\)[/tex]
C. 6
D. 14

Sagot :

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].
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