determine the domain for each function f(x)=x-6, g(x)=3x^(2)

To determine the domain of a function, we need to identify all the possible values that the independent variable (in this case, "x") can take.

For the function f(x) = x - 6, there are no restrictions on the values that x can take. It can be any real number. Therefore, the domain of f(x) is (-∞, ∞), which represents all real numbers.

For the function g(x) = 3x^2, there are also no restrictions on the values that x can take. It can be any real number. Therefore, the domain of g(x) is also (-∞, ∞), representing all real numbers.

In general, polynomial functions like f(x) = x - 6 and g(x) = 3x^2 have a domain of (-∞, ∞) because they are defined for all real numbers.