4 square root (1/x) power -12 whole power -2/3
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Algebra Examples
Popular Problems Algebra Find the Domain ( square root of x-1)/(x-4)
√
x
−
1
x
−
4
Set the radicand in
√
x
−
1
greater than or equal to
0
to find where the expression is defined.
x
−
1
≥
0
Solve for
x
.
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x
≥
1
Set the denominator in
√
x
−
1
x
−
4
equal to
0
to find where the expression is undefined.
x
−
4
=
0
Add
4
to both sides of the equation.
x
=
4
The domain is all values of
x
that make the expression defined.
Interval Notation:
[
1
,
4
)
∪
(
4
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
1
,
x
≠
4
}
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