To determine [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex] for the function [tex]\( f(x) = 5x + 40 \)[/tex], follow these steps:
1. Substitute [tex]\( x \)[/tex] with -5 in the function: Given [tex]\( f(x) = 5x + 40 \)[/tex], we substitute [tex]\( x = -5 \)[/tex].
2. Perform the multiplication first: Calculate [tex]\( 5 \times (-5) \)[/tex].
[tex]\[
5 \times (-5) = -25
\][/tex]
3. Add 40 to the result of the multiplication:
[tex]\[
-25 + 40 = 15
\][/tex]
Thus, [tex]\( f(-5) = 15 \)[/tex].
Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex] is:
- 15
