Question

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

Answer 1

`[-2,+oo),[-3,+oo)`

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]}