# How do I find the domain of #f(x) = 1/(sqrt(3-2x))#?

##### 1 Answer

Sep 27, 2014

The natural domain of

Let us look at some details.

There are two rules you need to keep in mind when it comes to finding the natural domain of a function. Here are the rules:

**Rule 1:** Nonzero in the denominator

**Rule 2:** Nonnegative in the square-root (eventh-root)

By Rule 1,

By Rule 2,

By combining the two conditions above,

Hence, the natural domain is