1. The problem is to find the domain of the function $$g(t) = \frac{1}{|t|}$$. 2. The domain of a function is the set of all input values ($t$) for which the function is defined. 3. Since the denominator is $|t|$, the function is undefined when $|t| = 0$ because division by zero is undefined. 4. The absolute value $|t| = 0$ only when $t = 0$. 5. Therefore, the function is defined for all real numbers except $t = 0$. 6. In interval notation, the domain is $$(-\infty, 0) \cup (0, +\infty)$$. 7. In set-builder notation, the domain is $$\{ t \mid t \neq 0 \}$$. Final answer: The domain of $$g(t) = \frac{1}{|t|}$$ is $$(-\infty, 0) \cup (0, +\infty)$$ or equivalently $$\{ t \mid t \neq 0 \}$$.