To find the value of the function [tex]\( f(x) = 2x^2 + 1 \)[/tex] when [tex]\( x = 3 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = 2(3)^2 + 1
\][/tex]
2. First, compute the square of 3:
[tex]\[
3^2 = 9
\][/tex]
3. Next, multiply 9 by 2:
[tex]\[
2 \times 9 = 18
\][/tex]
4. Finally, add 1 to the result:
[tex]\[
18 + 1 = 19
\][/tex]
Thus, [tex]\( f(3) = 19 \)[/tex].
So, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 3 \)[/tex] is [tex]\( 19 \)[/tex]. The correct answer is [tex]\( 19 \)[/tex].
