To find \( f(0) \) using the function rule \( f(x) = \frac{2}{x} + 8 \), we substitute \( x = 0 \) into the function:
\[ f(0) = \frac{2}{0} + 8 \]
However, \( \frac{2}{0} \) is undefined. Therefore, the function \( f(x) \) is also undefined at \( x = 0 \).
So, \( f(0) \) is undefined.