1. **State the problem:** We have two functions defined as sets of ordered pairs: $$f = \{(-3,0), (0,-2)\}$$ $$g = \{(-3,-5), (3,0), (6,7)\}$$ We need to find the function $g - f$ and its domain. 2. **Understand the operation $g - f$:** The function $g - f$ is defined as $(g - f)(x) = g(x) - f(x)$ for all $x$ in the domain where both $f$ and $g$ are defined. 3. **Find the common domain:** The domain of $f$ is $\{-3, 0\}$ and the domain of $g$ is $\{-3, 3, 6\}$. The common domain is the intersection: $$\text{Domain}(g - f) = \{-3\}$$ 4. **Calculate $g - f$ at $x = -3$:** $$g(-3) = -5, \quad f(-3) = 0$$ So, $$(g - f)(-3) = g(-3) - f(-3) = -5 - 0 = -5$$ 5. **Write the function $g - f$ as a set of ordered pairs:** $$g - f = \{(-3, -5)\}$$ 6. **Final answer:** - The function $g - f = \{(-3, -5)\}$ - The domain of $g - f$ is $\{-3\}$