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Byju's Answer
Standard XII
Mathematics
Domain
Find the doma...
Question
Find the domain of $
f
(
x
)
=\sqrt (
x
2
+
4
x
−
2
x
2
−
3)$
f(x)=x2+4x−2x2−3
A
[
3
,
5
]
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B
[
−
3
,
−
1
]
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C
[
−
1
,
0
]
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D
[
1
,
3
]
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Solution
The correct option is
D
[
1
,
3
]
For given function to be defined,
x
2
+
4
x
≥
2
x
2
+
3
⇒
x
2
−
4
x
+
3
≤
0
⇒
(
x
−
3
)
(
x
−
1
)
≤
0
⇒
x
∈
[
1
,
3
]
Suggest Corrections
0
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