To find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex] for the function [tex]\( f(x) = 5x + 40 \)[/tex], follow these steps:
1. Substitute [tex]\( x = -5 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(-5) = 5(-5) + 40
\][/tex]
2. Calculate the product [tex]\( 5(-5) \)[/tex]:
[tex]\[
5(-5) = -25
\][/tex]
3. Add the result to 40:
[tex]\[
-25 + 40 = 15
\][/tex]
So, [tex]\( f(-5) = 15 \)[/tex].
Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex] is [tex]\( 15 \)[/tex].
The correct answer is:
15