# How do you find the domain and range of # arctan(x^2)#?

##### 1 Answer

Jul 22, 2018

Range:

sans the asymptotic

Domain:

#### Explanation:

By convention, arctan values are confined to

Inversely,

Here, it is halved, as

graph{(y-arctan(x^2))(y-pi/2)=0}.

For the interested readers, some related information;

Using the piecewise-wholesome inverse operator (tan)^(-1),

instead of

and using its inverse

the graph that is same for both is created.

graph{x^2- tan y= 0}

The y-negative graphs are constituents of