To determine the value of [tex]\( f(15) \)[/tex] given the function [tex]\( f(x) = -x + 7 \)[/tex], follow these steps:
1. Begin by substituting [tex]\( x = 15 \)[/tex] into the function [tex]\( f(x) \)[/tex].
[tex]\[ f(15) = -15 + 7 \][/tex]
2. Simplify the expression on the right-hand side:
[tex]\[ f(15) = -15 + 7 \][/tex]
3. Perform the arithmetic operation:
[tex]\[ -15 + 7 = -8 \][/tex]
Therefore, the value of [tex]\( f(15) \)[/tex] is [tex]\(-8\)[/tex].
The correct choice is:
[tex]\[ f(15) = -8 \][/tex]