Question

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

Answer 1

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]