To find [tex]\( g(3) \)[/tex] given the function [tex]\( g(x) = x^2 + 2 \)[/tex], follow these steps:
1. Identify the function: The function provided is [tex]\( g(x) = x^2 + 2 \)[/tex].
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
g(3) = 3^2 + 2
\][/tex]
3. Calculate [tex]\( 3^2 \)[/tex]:
[tex]\[
3^2 = 9
\][/tex]
4. Add 2 to the result:
[tex]\[
9 + 2 = 11
\][/tex]
5. Thus, [tex]\( g(3) \)[/tex] is:
[tex]\[
g(3) = 11
\][/tex]
Therefore, the value of [tex]\( g(3) \)[/tex] is 11. The correct answer is 11.
