To solve for [tex]\( f(x) \)[/tex] when [tex]\( x = 3 \)[/tex] given the function [tex]\( f(x) = 2x^2 + 1 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = 2(3)^2 + 1
\][/tex]
2. Calculate [tex]\( 3^2 \)[/tex]:
[tex]\[
3^2 = 9
\][/tex]
3. Multiply by 2:
[tex]\[
2 \times 9 = 18
\][/tex]
4. Add 1:
[tex]\[
18 + 1 = 19
\][/tex]
Thus, the value of [tex]\( f(3) \)[/tex] is [tex]\( 19 \)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{19}
\][/tex]
