Find the domine of y=√(2x + 3)
Answers
Answered by
4
The range is the set of values that correspond with the domain.
Domain:
[
−
3
2
,
∞
)
,
{
x
∣
∣
∣
x
≥
−
3
2
}
[
-
3
2
,
∞
)
,
{
x
|
x
≥
-
3
2
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Domain:
[
−
3
2
,
∞
)
,
{
x
∣
∣
∣
x
≥
−
3
2
}
[
-
3
2
,
∞
)
,
{
x
|
x
≥
-
3
2
}
Range:
[
0
,
∞
)
,
{
y
|
y
≥
0
}
Answered by
32
Answer:
Explanation:
Given :
- Fuction, y = √2x + 3
To Find :
- Domain.
Solution :
Fuction, y = √2x + 3
⇒√2x + 3
⇒2x + 3
⇒ x ≥ -3/2
⇒ x € R
⇒x € [ -3/2 , +∞ ]
Hence, Domain is [ -3/2 , +∞ ].
Know to more:
•Definition of domain :
- The domain of a function is the complete set of possible values of the independent variable.
•When finding the domain, remember:
- The denominator (bottom) of a fraction cannot be zero.
- The number under a square root sign must be positive in this section
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