Answer:
y greater-than-or-equal-to 0
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have
[tex]y=\sqrt{x+5}[/tex]
Remember that the radicand of the function must be greater than or equal to zero
so
[tex]x+5\geq 0[/tex]
solve for x
[tex]x\geq -5[/tex]
The domain is the interval ----> [-5,∞)
For x=-5
[tex]y=\sqrt{-5+5}=0[/tex]
so
The range is the interval ----> [0,∞)
[tex]y\geq 0[/tex]
