To find the value of the function [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex], follow these steps:
1. Start with the given function:
[tex]\[
f(x) = 5x + 40
\][/tex]
2. Substitute [tex]\( x = -5 \)[/tex] into the function:
[tex]\[
f(-5) = 5(-5) + 40
\][/tex]
3. Perform the multiplication:
[tex]\[
f(-5) = 5 \cdot (-5) + 40
\][/tex]
[tex]\[
5 \cdot (-5) = -25
\][/tex]
4. Add 40 to the result of the multiplication:
[tex]\[
f(-5) = -25 + 40
\][/tex]
5. Simplify the expression:
[tex]\[
-25 + 40 = 15
\][/tex]
Thus, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = -5 \)[/tex] is:
[tex]\[
f(-5) = 15
\][/tex]