How do I find the domain and range of g(x)=square root 6x

Question

g(x)=√6x

Answer 1

Domain of g(x)=√6x is, 

  6x ≥ 0, that is x ≥ 0 

(The inside of the square root has to  be real number always greater than or equal to zero.)

 

The range of g(x)=√6x is,

 for any  x ≥ 0, then g(x) ≥ 0

(The graph g(x)=√6x lies on the first quadrant on the x-y coordinate system)

 

 

Answer 2

6x cannot be negative because square root of negative numbers is not allowed. So for the domain (values of x) we have x is greater than or equal to zero.  Again, our function cannot be negative so the range is y is greater than or equal to zero