1. **State the problem:** We need to find the values of the piecewise function $$g(x)$$ at $$x=1$$ and $$x=2$$. 2. **Recall the piecewise function definition:** $$g(x) = \begin{cases} -3x & \text{if } x < 2 \\ 12 & \text{if } x \geq 2 \end{cases}$$ 3. **Evaluate $$g(1)$$:** Since $$1 < 2$$, use the first case: $$g(1) = -3 \times 1 = -3$$ 4. **Evaluate $$g(2)$$:** Since $$2 \geq 2$$, use the second case: $$g(2) = 12$$ **Final answers:** $$g(1) = -3$$ $$g(2) = 12$$