To determine the value of \( x \) for which \( g(x) = 34 \) in the context of the given data, we need to find the year corresponding to the percentage of citizens with at least one social media profile being 34%.
From the table you provided:
- In 2009, the percent of citizens with at least one social media profile is 34%.
We can denote \( g(x) \) as the percentage of citizens with at least one social media profile in year \( x \).
Since \( g(2009) = 34 \), the value of \( x \) for which \( g(x) = 34 \) is:
\[ \boxed{2009} \]