Final answer:
The domain of the function is all real numbers, and the range is also all real numbers.
Step-by-step explanation:
The given function is f(x) = (1/6)x +2.
The domain of a function represents all the possible input values or x-values that the function can take. In this case, there are no restrictions on the x-values, so the domain is all real numbers.
The range of a function represents all the possible output values or y-values that the function can produce. Since the function is a linear equation, the range is also all real numbers.