To evaluate the function [tex]\( r(x) = \sqrt{5 - x} \)[/tex] at [tex]\( x = -4 \)[/tex], we will follow these steps:
1. Substitute [tex]\( x = -4 \)[/tex] into the function:
[tex]\[
r(-4) = \sqrt{5 - (-4)}
\][/tex]
2. Simplify the expression inside the square root:
[tex]\[
5 - (-4) = 5 + 4 = 9
\][/tex]
3. Take the square root of the simplified expression:
[tex]\[
\sqrt{9} = 3
\][/tex]
Therefore, the value of the function [tex]\( r(x) \)[/tex] at [tex]\( x = -4 \)[/tex] is [tex]\( r(-4) = 3.0 \)[/tex].