Verified Answer :

g(x) = x^2 + 1
if x=1

g(1) = 1^2 + 1
g(1) = 1 + 1
g(1) = 2

Answer: The value of g(1) is 2.

Step-by-step explanation:  We are given a function g(x) as follows:

\(g(x)=x^2+1.\)

we are to find the value of g(1).

For that, we need to put x = 1 in the definition of g(x).

Substituting x = 1 in g(x), we have

\(g(1)=1^2+1=1+1=2\\\\\Rightarrow g(1)=2.\)

Therefore, the value of g(1) is 2.

Thus, the answer is 2.