# What is the domain and range of #f(x)= sqrt(x+2) - 3#??

##### 1 Answer

Mar 21, 2018

#### Explanation:

#"the domain is determined by the radical"#

#"that is "x+2>=0rArrx>=-2#

#"domain is "[-2,+oo)larrcolor(blue)"in interval notation"#

#f(-2)=0-3=-3rArr(-2,-3)" is minimum"#

#rArr"range is "[-3,+oo)#

graph{sqrt(x+2)-3 [-10, 10, -5, 5]}