Final answer:
The domain of the exponential function h(x) = 125x is (-∞, ∞) and the range is (0, ∞).
Step-by-step explanation:
The domain of an exponential function is the set of all real numbers.
In this case, the function h(x) = 125x is defined for all real numbers, so the domain is (-∞, ∞).
The range of an exponential function is determined by the base of the function.
Since the base is 125, the range of h(x) is all positive real numbers greater than zero, which can be written as (0, ∞).