Okay, here we have this:
Considering the provided function, we are going to find the continuity intervals, so we obtain the following:
Let us first find the domain of the function:
Since the domain corresponds to all the values that x can take, then we have that: When the function is rational, the denominator must be different from zero, and when it has a root, then x must be greater than or equal to zero. Therefore:
By joining the intervals we find that the domain is x>0, and since no other singularity is present, then the continuity interval is:
[tex](0,\text{ +}\infty)[/tex]
