Answer:
The domain is[ -3, ♾)
Step-by-step explanation:
The graph above shows the graph of it parent function,
[tex]y = \sqrt{x} [/tex]
It includes x=0 because 0 is a perfect square.
Now consider the transformed function
[tex] \sqrt{x + 3} [/tex]
There is two ways to solve this:
Way#1. Algebra.
Remeber that we can't take the square root of a negative number.
(i.e We can but it isn't graphable on a Cartesian coordinate plane).
We can take the square root of 0 so we must set the number in the radical equal to 0.
[tex]x + 3 = 0[/tex]
[tex]x = - 3[/tex]
We include the point at x=-3, so we put a [ in front of -3. This number can accept any number as we approach positive infinity. So the domain is
♾)
