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].
