Respuesta :
Using it's concepts, it is found that the domain and the range of the function are given as follows:
- Domain: [tex][4, \infty)[/tex].
- Range: [tex][0, \infty)[/tex].
What are the domain and the range of a function?
- The domain of a function is the set that contains all the values of the input.
- The range of a function is the set that contains all the values of the output.
In this problem, the function is:
[tex]y = \frac{1}{3}\sqrt{x - 4}[/tex]
The square root exists only for non-negative values, hence the domain is found as follows:
[tex]x - 4 \geq 0 \rightarrow x \geq 4[/tex]
The result of the square root function is never negative, hence the range of the function is [tex]y \geq 0[/tex].
More can be learned about domain and range at https://brainly.com/question/27903311
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