Find the Domain and Range g(x)=log2x+3
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Answer:
where the expression is defined.
x
−
3
>
0
Add
3
to both sides of the inequality.
x
>
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
3
,
∞
)
Set-Builder Notation:
{
x
|
x
>
3
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
3
,
∞
)
,
{
x
|
x
>
3
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
image of graph
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