To fill in the missing value for [tex]\( f(2) \)[/tex] in the table that represents the function [tex]\( f(x) = 2x + 1 \)[/tex], we need to evaluate the function at [tex]\( x = 2 \)[/tex].
The function given is:
[tex]\[ f(x) = 2x + 1 \][/tex]
We need to find [tex]\( f(2) \)[/tex]:
[tex]\[ f(2) = 2(2) + 1 \][/tex]
[tex]\[ f(2) = 4 + 1 \][/tex]
[tex]\[ f(2) = 5 \][/tex]
Therefore, the value that goes in the empty cell [tex]\( f(2) \)[/tex] in the table is [tex]\( 5 \)[/tex].
So, the correct answer is:
[tex]\[ \boxed{5} \][/tex]
