1. **State the problem:** Simplify the expression $f(x) - 3 + \frac{5}{x}$. 2. **Understand the expression:** The expression consists of a function $f(x)$, a constant $-3$, and a rational term $\frac{5}{x}$. 3. **No further simplification is possible without knowing $f(x)$:** Since $f(x)$ is unknown, the expression remains as is. 4. **Final expression:** $$f(x) - 3 + \frac{5}{x}$$ This is the simplified form given the information provided.