# What is the domain and range of #f(x) = 1/(1 + sqrtx)#?

##### 1 Answer

Feb 1, 2018

The domain is

#### Explanation:

What's under the square root sign is

Therefore,

So , the domain is

To calculate the range, proceed as follows :

Let

When

And

Therefore the range is

graph{1/(1+sqrtx) [-2.145, 11.9, -3.52, 3.5]}