To find [tex]\( f(-2) \)[/tex] for the function [tex]\( f(x) = -3x + 3 \)[/tex], follow these steps:
1. Substitute [tex]\( x = -2 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. The function [tex]\( f(x) \)[/tex] is given by:
[tex]\[
f(x) = -3x + 3
\][/tex]
3. Substitute [tex]\( x = -2 \)[/tex] into the function:
[tex]\[
f(-2) = -3(-2) + 3
\][/tex]
4. Multiply inside the function:
[tex]\[
-3(-2) = 6
\][/tex]
5. Add the remaining constant term:
[tex]\[
6 + 3 = 9
\][/tex]
Hence, the value of [tex]\( f(-2) \)[/tex] is:
[tex]\[
f(-2) = 9
\][/tex]
