1. The problem is to find the domain of the function $f(x) = (x-2) - 3$. 2. The domain of a function is the set of all possible input values ($x$) for which the function is defined. 3. For the function $f(x) = (x-2) - 3$, it is a polynomial (linear) function. 4. Polynomial functions are defined for all real numbers, so there are no restrictions on $x$. 5. Therefore, the domain of $f(x)$ is all real numbers, which can be written as: $$\text{Domain} = (-\infty, \infty)$$ This means you can input any real number into the function and get a valid output.