To solve the problem of finding [tex]\( f(7) \)[/tex] given the function [tex]\( f(x) = 10 - 2x \)[/tex], let's go through the steps:
1. Start with the given function:
[tex]\[
f(x) = 10 - 2x
\][/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. Substitute this value back into the equation:
[tex]\[
f(7) = 10 - 14
\][/tex]
5. Complete the subtraction:
[tex]\[
10 - 14 = -4
\][/tex]
So, the value of [tex]\( f(7) \)[/tex] is [tex]\( -4 \)[/tex].
Thus, the correct answer is:
[tex]\[
-4
\][/tex]
