1. The problem is to find the domain of the function $$f(x) = \frac{1}{\sqrt{2x-4}}$$. 2. Start by identifying the domain restrictions. Since the denominator is a square root, the expression inside the root must be greater than 0 (cannot be zero or negative because it is in the denominator). 3. Set the inequality: $$2x - 4 > 0$$ 4. Solve the inequality: $$2x > 4$$ $$x > 2$$ 5. Therefore, the domain of the function is all real numbers $$x$$ such that $$x > 2$$. 6. Final answer: $$\boxed{(2, \infty)}$$