Answer :

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]