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36 votes
36 votes
Find the domain of y= 2/3 square root of x+5-4

User Bagofmilk
by
2.6k points

1 Answer

5 votes
5 votes
Set the radicand in

x

5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x

5

0
x
-
5

0
Add
5
5
to both sides of the inequality.
x

5
x

5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,

)
[
5
,

)
Set-Builder Notation:

x

5


x

The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,

)
[
0
,

)
Set-Builder Notation:

y


y

Determine the domain and range.
User Tadas Paplauskas
by
2.0k points