Find the domain of the function 1/(x-2) ? *
Answers
Step-by-step explanation:
F
(
x
)
=
1
x
2
Set the denominator in
1
x
2
equal to
0
to find where the expression is undefined.
x
2
=
0
Solve for
x
.
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Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
0
The complete solution is the result of both the positive and negative portions of the solution.
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x
=
0
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
0
)
∪
(
0
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
0
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
0
,
∞
)
Set-Builder Notation:
{
y
|
y
>
0
}
Determine the domain and range.
Domain:
(
−
∞
,
0
)
∪
(
0
,
∞
)
,
{
x
|
x
≠
0
}
Range:
(
0
,
∞
)
,
{
y
|
y
>
0
}
HOPE IT HELPS......
the function is in fraction in this case value will not be defined only if denominator is 0
therefore,
x≠2
refer to attachment
