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Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)

Describe the interval(s) on which the function is continuous. (Enter your answer using-example-1
User Jan Chrbolka
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1 Answer

26 votes
26 votes

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:


(0,\text{ +}\infty)

User Nicogpt
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