# What is the domain and range of #m(x) = 5/(x^2+9)#??

##### 1 Answer

Jul 24, 2018

Domain - all reals

Range -

#### Explanation:

Looking at the graph, you can immediately tell that it is an even function and and the graph is positive

Even function is when

Therefore,

It is positive because

We also know that there is no x-intercept but there is a y-intercept at

Drawing the graph, we can see that:

Domain - all reals

Range -

For the range,

The graph is below

graph{5/(x^2+9) [-10, 10, -5, 5]}