Answer :

To find [tex]\( f(-4) \)[/tex] for the function [tex]\( f(x) = 7x - 4x \)[/tex], let’s go through the steps carefully.

1. Define the function:
[tex]\[ f(x) = 7x - 4x \][/tex]

2. Simplify the function expression:
[tex]\[ f(x) = (7 - 4)x \][/tex]
[tex]\[ f(x) = 3x \][/tex]

3. Substitute [tex]\( x = -4 \)[/tex] into the simplified function:
[tex]\[ f(-4) = 3(-4) \][/tex]

4. Calculate the value:
[tex]\[ f(-4) = -12 \][/tex]

Thus, [tex]\( f(-4) = -12 \)[/tex].