To find [tex]\( f(7) \)[/tex] for the function [tex]\( f(x) = 10 - 2x \)[/tex]:
1. First, identify that [tex]\( x \)[/tex] in the function [tex]\( f(x) = 10 - 2x \)[/tex] will be replaced with [tex]\( 7 \)[/tex].
2. Substitute [tex]\( x = 7 \)[/tex] into the function:
[tex]\[
f(7) = 10 - 2(7)
\][/tex]
3. Perform the multiplication inside the parentheses first:
[tex]\[
2 \times 7 = 14
\][/tex]
4. Now, subtract 14 from 10:
[tex]\[
10 - 14 = -4
\][/tex]
So, the value of [tex]\( f(7) \)[/tex] is [tex]\( -4 \)[/tex].
The correct answer is [tex]\(-4\)[/tex].