To find [tex]\( f(2) \)[/tex] for the function [tex]\( f(x) = 5x - 12 \)[/tex], we need to substitute [tex]\( x \)[/tex] with 2 and then simplify the expression.
1. Start with the given function:
[tex]\[
f(x) = 5x - 12
\][/tex]
2. Substitute [tex]\( x = 2 \)[/tex] into the function:
[tex]\[
f(2) = 5(2) - 12
\][/tex]
3. Multiply 5 by 2:
[tex]\[
5 \times 2 = 10
\][/tex]
4. Subtract 12 from 10:
[tex]\[
10 - 12 = -2
\][/tex]
So, [tex]\( f(2) \)[/tex] is:
[tex]\[
f(2) = -2
\][/tex]
Looking at the given possible answers:
A. 10
B. -2
C. -22
D. 2
The correct answer is:
[tex]\[
\boxed{-2}
\][/tex]
