How do you find the domain of sqrt(x + 5) ?

1 Answer
Jim G.
Mar 13, 2018

x in RR,x>=-5

Explanation:

"the expression inside the radical must be greater than"
"or equal to zero"

"solve "x+5>=0" for domain"

"subtract 5 from both sides"

xcancel(+5)cancel(-5)>=0-5

rArrx>=-5

"domain is "x in RR,x>=-5

[-5,+oo)larrcolor(blue)"in interval notation"
graph{sqrt(x+5) [-10, 10, -5, 5]}

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