Final answer:
The domain of the function h(x) = |-19 + 2x| is all real numbers, which is represented in interval notation as (-∞, ∞).
Step-by-step explanation:
To find the domain of the function h(x) = |-19 + 2x|, we need to identify all the values of x that make the expression inside the absolute value valid. Since the absolute value function can take any real number and output a non-negative number, the domain of h(x) is simply all real numbers.
In interval notation, the domain of any function that can accept all real numbers is represented as (-∞, ∞), where ∞ symbolizes infinity. For the function h(x), since there are no restrictions on the values that x can take, we can conclude that its domain is all real numbers.