1. The problem asks us to find the values of $x$ that make the rational expression $$\frac{4}{x(x - 3)}$$ undefined. 2. A rational expression is undefined when its denominator equals zero because division by zero is undefined. 3. Set the denominator equal to zero: $$x(x - 3) = 0$$ 4. Solve for $x$ by setting each factor equal to zero: - $x = 0$ - $x - 3 = 0 \implies x = 3$ 5. Therefore, the rational expression is undefined at $x = 0$ and $x = 3$. 6. The correct response is: 3 and 0.