# How do you find the domain & range for y=tan4x?

Nov 10, 2015

domain is all real values.......since it is in form of$\tan \left(y\right)$ where $y = 4 x$
and the range $= R - \left\{\left(2 n + 1\right) \frac{\pi}{8}\right\}$

#### Explanation:

domain is clear
range is
$y = R - \left\{\left(2 n + 1\right) \frac{\pi}{2}\right\}$
$4 x = R - \left\{\left(2 n + 1\right) \frac{\pi}{2}\right\}$
$x = R - \left\{\left(2 n + 1\right) \frac{\pi}{8}\right\}$