If $f(x)=\sqrt{\frac{1}{2} x-10}+3$, which inequality can be used to find the domain of $f(x)$?

A$\sqrt{\frac{1}{2} x-10}+3 \geq 0$

B$\sqrt{\frac{1}{2}} x \geq 0$

C$\frac{1}{2} x-10 \geq 0$

D$\frac{1}{2} x \geq 0$