To evaluate the function \( g(x) = \sqrt{x+1} \) for a given value of \( x \), we need to substitute the value of \( x \) into the function and compute the square root of the result.
Step 1: Evaluate \( g(4) \)
To find \( g(4) \), we substitute \( x = 4 \) into the function \( g(x) = \sqrt{x+1} \):
\[
g(4) = \sqrt{4 + 1} = \sqrt{5}
\]
Step 2: Calculate the Numerical Value
Next, we compute the numerical value of \( \sqrt{5} \):
\[
\sqrt{5} \approx 2.2361
\]
Final Answer
Thus, the value of \( g(4) \) is approximately \( \boxed{g(4) \approx 2.2361} \).