SOLUTION: What is the range of g if {{{"g(x)"=sqrt(x-3)+2}}}?

What's under a square root radical must be , so



So the domain of g is  or [3,)

Now we built 



up to the right side of g(x)

Take positive square roots of both sides:





Add 2 to both sides:



So the left side now equals g(x), so



So the range of g is [2,).

.

Edwin