Answer:
(-5, ∞)
Explanation:
The given expression is
[tex]\frac{6x}{\sqrt{x+5}}[/tex]Then, the domain is the set of values that the variable x can take. In this case, (x + 5) should be a number greater than 0, otherwise, we get a square root of a negative number and that is not possible.
Therefore, we need to solve the following inequality
(x + 5) > 0
x + 5 > 0
x + 5 - 5 > 0 - 5
x > -5
Therefore, the domain of the equation is x > -5 written in interval notation is
(-5, ∞)
