Question 484870
You cannot take the square root of a negative number. So the radicand x+1 must be 0 or positive.



In other words, {{{x+1>=0}}} which means that {{{x>=-1}}}



So the domain is *[Tex \LARGE \left{x\|x\in\mathbb{R},x\ge -1\right}]


Note: the above says that the domain is the set of all real numbers that are greater than or equal to -1.



In interval notation, the domain is <font size=6>[</font>*[Tex \LARGE -1,\infty]<font size=6>)</font>