To find [tex]\( g(1) \)[/tex] given the function [tex]\( g(x) = x^2 + 1 \)[/tex], follow these steps:
1. Identify the function: We are given that [tex]\( g(x) = x^2 + 1 \)[/tex].
2. Substitute [tex]\( x = 1 \)[/tex] into the function: Replace [tex]\( x \)[/tex] with 1 in the function.
[tex]\[
g(1) = 1^2 + 1
\][/tex]
3. Simplify the expression: Calculate [tex]\( 1^2 \)[/tex] and add 1.
[tex]\[
g(1) = 1 + 1
\][/tex]
4. Compute the final result:
[tex]\[
g(1) = 2
\][/tex]
Therefore, the value of [tex]\( g(1) \)[/tex] is [tex]\( 2 \)[/tex].
