To determine the value of the function [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex], we follow these steps:
1. Identify the function: The function given is [tex]\( f(x) = 5x + 40 \)[/tex].
2. Substitute [tex]\( x \)[/tex] with [tex]\(-5\)[/tex] in the function:
[tex]\[
f(-5) = 5(-5) + 40
\][/tex]
3. Perform the operation inside the function:
- First, multiply [tex]\( 5 \)[/tex] by [tex]\(-5\)[/tex]:
[tex]\[
5 \times -5 = -25
\][/tex]
- Next, add [tex]\( -25 \)[/tex] to [tex]\( 40 \)[/tex]:
[tex]\[
-25 + 40 = 15
\][/tex]
4. Result: Therefore, [tex]\( f(-5) = 15 \)[/tex].
So, the value of [tex]\( f(-5) \)[/tex] is [tex]\( 15 \)[/tex].
The correct answer is:
[tex]\[ \boxed{15} \][/tex]
