What is the domain and range of ## y= sqrt(x) -2##?
February 20th, 2023
##”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.!
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