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How do you find the domain and range of #g(x) = sqrt(x-4) #?

1 Answer

Mar 30, 2018

Domain : #x>=4 or [4,oo)#
Range : #g(x)>=0 or [0,oo)#

Explanation:

#g(x)=sqrt(x-4); g(x)# is undefined at #x<4:. x>=4#

Hence domain is #x>=4 or [4,oo)#

Range: Output of square root is #>=0:. g(x)>=0#

Hence range is #g(x)>=0 or [0,oo)#

graph{(x-4)^0.5 [-20, 20, -10, 10]} [Ans]

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