What is the domain of #h(x)=sqrt(2x+1)#?

Answer 1

Eva Abramson

#x inRR,x>=-1/2#

#"we require "2x+1>=0#

#rArr2x>=-1rArrx>=-1/2#

#"domain is "x inRR,x>=-1/2#

#[-1/2,+oo)larrcolor(blue)"in interval notation"# graph{sqrt(2x+1) [-10, 10, -5, 5]}

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Answer 2

Jameson Allen

Domain: (x \geq -\frac{1}{2})

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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