How do you find the domain and range of g(x)=3 sqrt(x+4)?

1 Answer
Dec 28, 2017

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

Explanation:

g(x)=3sqrt(x+4) . For domain , under root is undefined for

any negative value. :. x+4 >=0 or x >= -4

Domain: x >= -4 or x| [-4,oo)

Range has no negative value , Range: g(x) >=0 or g(x)| [0,oo)

graph{3*(x+4)^0.5 [-40, 40, -20, 20]} [Ans]