The domain for the exponential function f(x) is (2, ∞) or x.
In Mathematics and Euclidean Geometry, a domain is the set of all real numbers (x-values) for which a particular relation or function is defined.
Generally speaking, the domain of any logarithmic function is from (x > 0) to infinity (+∞). Thus, its graph moves to the right on the vertical axis and it increases to infinity (+∞) as the value of x increases.
For the restriction on the domain of this function, we have;
x - 2 ≠ 0
x ≠ 2
In this context, we can logically deduce the following domain:
Domain = (2, ∞) or x > 2.