1. **State the problem:** Evaluate the function $f(x) = 3|x - 5| + \frac{3}{\sqrt{x}}$ at $x=5$ and $x=0$. 2. **Recall the function and domain:** The function involves an absolute value and a square root in the denominator. Note that $\sqrt{x}$ is defined only for $x \geq 0$, and division by zero is undefined. 3. **Evaluate at $x=5$:** $$f(5) = 3|5 - 5| + \frac{3}{\sqrt{5}} = 3 \times 0 + \frac{3}{\sqrt{5}} = \frac{3}{\sqrt{5}}$$ 4. **Simplify $\frac{3}{\sqrt{5}}$ by rationalizing the denominator:** $$\frac{3}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} = \frac{3\sqrt{5}}{5}$$ 5. **Evaluate at $x=0$:** $$f(0) = 3|0 - 5| + \frac{3}{\sqrt{0}} = 3 \times 5 + \frac{3}{0}$$ Since division by zero is undefined, $f(0)$ is undefined. **Final answers:** $$f(5) = \frac{3\sqrt{5}}{5}$$ $$f(0) \text{ is undefined}$$