# How do you find the domain and range of #arcsin(3x+1)#?

##### 1 Answer

Oct 29, 2017

Domain:

Range:

#### Explanation:

It is easy if you treat it as a transformation of your basic

Then taking your function *function* is on its own:

Hence you get

Of course the first one needs no solving; we already have the range.

Rearranging the second inequality we get the domain: