Question 683934
25-x^2 >= 0


25 >= x^2


x^2 <= 25


sqrt(x^2) <= sqrt(25)


|x| <= 5


-5 <= x <= 5


So the domain is -5 <= x <= 5


Domain in set-builder notation: <img src="http://latex.codecogs.com/gif.latex?\large \left\{x|-5\le x\le 5, x\in\mathbb{R}\right\}" title="\large \left\{x|-5\le x\le 5, x\in\mathbb{R}\right\}" />


Domain in interval notation: <img src="http://latex.codecogs.com/gif.latex?\large \left[-5,5 \right ]" title="\large \left[-5,5 \right ]" />