Final answer:
The domain of the given function (36 - xˣ²) / (1 - e^(36 - x²)) is (-∞, ∞).
Step-by-step explanation:
The domain of a function is the set of all possible input values that the function can accept. In this case, the given function is:
(36 - xˣ²) / (1 - e^(36 - x²))
To determine the domain, we need to consider any restrictions on the inputs of the function. One potential restriction is the presence of a division by zero, so we should exclude any values of x that make the denominator zero. However, in this case, the denominator is never zero since the exponential function (e^x) is always positive.
Therefore, there are no restrictions on the domain of the given function. The domain is the set of all real numbers, which can be represented as (-∞, ∞).