Final answer:
The domain of the exponential function f(x) = -5 * 3^x is all real numbers.
Step-by-step explanation:
The domain of an exponential function is the set of all possible input values, or x-values, for which the function is defined. In this case, we have the function f(x) = -5 * 3^x. The base of the exponential function is 3, which means that the function is defined for all real numbers for which 3^x is defined. Since 3 raised to any real number produces a real number, there are no restrictions on the domain of this function. Therefore, the domain of f(x) = -5 * 3^x is all real numbers.