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Byju's Answer
Standard XI
Mathematics
Basic Inverse Trigonometric Functions
Domain of the...
Question
Domain of the function
f
(
x
)
=
tan
−
1
(
x
+
4
(
x
+
5
)
√
x
2
−
4
)
is
फलन
f
(
x
)
=
tan
−
1
(
x
+
4
(
x
+
5
)
√
x
2
−
4
)
का प्रांत है
A
R
– {–2, 2}
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B
R
– {5}
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C
R
– [–2, 2]
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D
R
−
(
[
−
2
,
2
]
∪
{
5
}
)
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Solution
The correct option is
D
R
−
(
[
−
2
,
2
]
∪
{
5
}
)
Solutions
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Similar questions
Q.
If
f
:
R
→
[
−
π
4
,
π
2
)
defined by
f
(
x
)
=
tan
−
1
(
x
4
−
x
2
−
7
4
+
tan
−
1
α
)
is surjective, then
Q.
Simplify the expression for
f
(
x
)
and then find
f
′
(
x
)
, if
f
(
x
)
=
(
√
x
−
2
√
x
+
2
+
√
x
−
2
+
x
−
2
√
x
2
−
4
−
x
+
2
)
−
2
(
x
−
1
2
(
√
x
+
1
)
+
1
)
×
2
√
x
+
1
Q.
Domain of the function
f
(
x
)
=
tan
−
1
√
1
−
1
x
is
फलन
f
(
x
)
=
tan
−
1
√
1
−
1
x
का प्रांत है
Q.
Domain of the function
f
(
x
)
=
√
5
−
|
x
|
|
x
|
−
6
is
फलन
f
(
x
)
=
√
5
−
|
x
|
|
x
|
−
6
का प्रांत है
Q.
The domain of the function
f
(
x
) = sin2
x
is
फलन
f
(
x
) = sin2
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का प्रांत है
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