Final answer:
The domain of the function f(x) = X > -6 is all values of x that are greater than -6, which is correctly represented by the option a) x > -6.
Step-by-step explanation:
The domain of a function represents all the possible values that can be input into the function (the x-values). When the function is given as f(x) = X > -6, this inequality describes the domain of the function. It means that x can take any value greater than -6, not including -6 itself. Given the options, the correct answer is a) x > -6 because this represents all the x-values that are greater than -6 and can be input into the function.