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

Question

3189 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T03:48:27

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

$g(x)=sqrt(x-4); g(x)$ 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]

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