# How do you find the domain and range of #f(x) = sqrt x / (x^2 + x - 2)#?

##### 1 Answer

Jan 29, 2017

Domain is

Range is

Asymptotes :

#### Explanation:

To make f real,

As

As

The asymptotes keep the two branches of the graph, in #Q_1 and

Q_4, respectively.

So, domain is

Range is

See the illustrative Socratic graph.

graph{(sqrtx/(x^2+x-2)-y)(x-.99+.01y) =0 [-10, 10, -5, 5]}