Final answer:
The domain of the given rational function, y = (2x - 6x) / (2 - 9), is (-∞, ∞).
Step-by-step explanation:
To find the domain of a rational function, we need to consider the values of the variable, usually denoted as x, for which the function is defined. In this case, the given rational function is y = (2x - 6x) / (2 - 9).
To determine the domain, we need to consider any restrictions on the variable that would make the function undefined. However, in this case, there are no values of x that would make the denominator zero, so the function is defined for all real numbers. Therefore, the domain of the function is (-∞, ∞).