Answer :

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].