1. The problem asks for the domain of the function $$f(x) = - \frac{5}{6} \left( \frac{3}{5} \right)^x$$. 2. The domain of an exponential function $$a^x$$, where $$a > 0$$ and $$a \neq 1$$, is all real numbers because you can raise a positive base to any real exponent. 3. Here, the base is $$\frac{3}{5}$$, which is positive and not equal to 1. 4. Multiplying by $$-\frac{5}{6}$$ does not restrict the domain; it only affects the range. 5. Therefore, the domain of $$f(x)$$ is all real numbers. Final answer: The domain of $$f(x) = - \frac{5}{6} \left( \frac{3}{5} \right)^x$$ is all real numbers.