# What is the domain and range of # y =sqrt (x^2 - 9)#?

##### 1 Answer

Mar 18, 2018

#### Explanation:

#"for the domain we require"#

#x^2-9>=0#

#rArrx^2>=9#

#rArrx<=-3" or "x>=3#

#"domain is "(-oo,-3]uu[3,+oo)#

#"range is "y inRR,y>=0#

graph{sqrt(x^2-9) [-10, 10, -5, 5]}