Final answer:
The domain of the function w(x)=|x+3|+6 is all real numbers, and in interval notation it is expressed as (-∞, ∞).
Step-by-step explanation:
The domain of the function w(x)=|x+3|+6 refers to all possible values that the variable x can take on for which w(x) is defined. In this case, we are dealing with an absolute value function added to the constant 6. The absolute value function is defined for all real numbers, which means that there are no restrictions on the values that x can take. Hence, the domain of the function w(x) is all real numbers.
Expressed in interval notation, the domain is (-∞, ∞), which means that x can be any number from negative infinity to positive infinity.