Answer:
The domain of a function is the set of all possible values for the input variable (x), while the range is the set of all possible values for the output variable (f(x)).
For the function f(x) = (1/6)^x + 2, the domain includes all real numbers, since any value of x can be raised to any power.
To find the range, we can look at the behavior of the function as x approaches positive and negative infinity. As x approaches negative infinity, (1/6)^x becomes very large, so f(x) approaches 2. As x approaches positive infinity, (1/6)^x becomes very small, so f(x) approaches 2 as well. Therefore, the range of the function is (2, infinity).