# Question #b37dd

##### 2 Answers

The function is continuous on its entire domain.

#### Explanation:

The domain of

is the open interval

For each point, a, in that interval, f is the quotient of two continuous functions -- with a nonzero denominator -- and is therefore continuous.

Find the "breaks" in the domain

#### Explanation:

Functions will often have inputs that, for lack of a better word, "break" the function. For functions of the form

For your function,

Since the variable is in the denominator, we can set the denominator equal to zero and find that restriction, in this case

But, since the variable is also under a square root,

When you look at the domain for your function,