#### Answer

$[5,11]$

#### Work Step by Step

In order to find the domain we will have to set the equation inside the square root greater than and equal to zero.
we have, $2x-1 \leq 21$ and $2x+2 \geq 12$
or, $2x \leq 22$ and $2x \geq 10$
or, $x \leq 11$ and $x \geq 5$
Thus, Domain for will be a set of interval corresponds to both domains, that is, $[5,11]$