To find the value of [tex]\( f(3) \)[/tex] using the given function rule [tex]\( f(x) = 6 - 2x \)[/tex], we need to substitute [tex]\( x = 3 \)[/tex] into the function.
Here's the step-by-step process:
1. Start with the function rule:
[tex]\[
f(x) = 6 - 2x
\][/tex]
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = 6 - 2(3)
\][/tex]
3. Calculate the value inside the parentheses first:
[tex]\[
2(3) = 6
\][/tex]
4. Subtract this value from 6:
[tex]\[
6 - 6 = 0
\][/tex]
Thus, the value of [tex]\( f(3) \)[/tex] is:
[tex]\[
f(3) = 0
\][/tex]
