1. **State the problem:** Find the limit $$\lim_{x \to 3^+} [f(x) g(x)]$$ using the given graphs of $f(x)$ and $g(x)$. 2. **Analyze the graphs at $x=3^+$:** - From the graph of $f(x)$ (red curve), as $x$ approaches 3 from the right, $f(x)$ approaches the value at the solid dot near $(3,3)$, so $\lim_{x \to 3^+} f(x) = 3$. - From the graph of $g(x)$ (blue curve), as $x$ approaches 3 from the right, the function approaches the open circle near $(3.6, 1.5)$, but since we want $3^+$, we look just to the right of 3, which is near 3.6, so $\lim_{x \to 3^+} g(x) = 1.5$. 3. **Use the limit product rule:** $$\lim_{x \to a} [f(x) g(x)] = \left(\lim_{x \to a} f(x)\right) \cdot \left(\lim_{x \to a} g(x)\right)$$ provided both limits exist. 4. **Calculate the product:** $$\lim_{x \to 3^+} [f(x) g(x)] = 3 \times 1.5 = 4.5$$ 5. **Final answer:** $$\boxed{4.5}$$