Question

How do you find the domain & range for `f(x)=sqrt(tan(2x+π))`?

Answer 1

The range is (- `oo` , `oo` ) and domain is (- `pi/2` , `pi/4` )

Explanation:

For domain and range this must be included in the answer.
Y = `sqrt` tan(2x + `pi`) `=>` 0 < tan (2x + `pi` ) < `oo` `=>`
0 < 2x + `pi` <`pi/2` `=>` -`pi` < 2x < - `pi` + `pi/2` `=>` -`pi` < 2x <`-pi/2` `=>`
-`pi/2` < x < -`pi/4`