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