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

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Answer 1 · 2017-01-23T17:04:28

#"Domain="RR^=uu{0}=[0,oo).#

#"Range="[-2,oo).#

We will restrict our discussion in #RR.#

As we can not find the square root of #x<0, x>=0#

So, the Domain is the set of all non-negative reals, i.e.,

#RR^+uu{0}=[0,oo).#

Also, #AA x in RR^+uu{0}, sqrtx>=0 rArr y=sqrtx-2>=-2.#

Hence, the Range is #[-2,oo).#

Enjoy maths.!