Respuesta :

This question revolves around the concept of domain (primarily) and range (secondarily).  The domain of the square root function is [0, +infinity).


The domain of "three times the sqrt of a" shares that domain:  [0, +infinity).

We were not asked to come up with the range, but if the range is wanted, it is

[0, +infinity).

Using the domain concept, it is found that the expression makes sense for values of a that are of 0 or greater, than is, [tex]a \geq 0[/tex]

The domain of a data-set is the set that contains all possible input values.

In this problem, the expression "three times the square root of a" is given by:

[tex]3\sqrt{a}[/tex]

The square root function is valid for non-negative values, hence the domain of [tex]\sqrt{a}[/tex] is [tex]a \geq 0[/tex], which are the values for which the expression makes sense.

A similar problem is given at https://brainly.com/question/24374080