find domain and range of √-x+5/x-10
Answers
Answered by
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Step-by-step explanation:
√
5
x
+
10
greater than or equal to
0
to find where the expression is defined.
5
x
+
10
≥
0
Solve for
x
.
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x
≥
−
2
The domain is all values of
x
that make the expression defined.
Interval Notation:
[
−
2
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
−
2
}
The range of an even indexed radical starts at its starting point
(
−
2
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
Determine the domain and range.
Domain:
[
−
2
,
∞
)
,
{
x
|
x
≥
−
2
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
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