Answer: Domain:
x
≥
4
Range:
y
≥
0
Step-by-step explanation:Any number inside a square root has to be positive or
0
or else, the answer will be a complex solution. With that being said,
x
−
4
has to be greater than or equal to
0
:
x
−
4
≥
0
Solve this equation to find the domain. Add
4
to both sides:
x
≥
4
So our domain is that x has to be greater than or equal to
4
.
Since the square root can never yield a negative number,
y
will always be positive or
0
. So the range of
y
is that:
y
≥
0