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Byju's Answer
Standard XII
Mathematics
Constant Function
Find the doma...
Question
Find the domain of the function
s
i
n
−
1
(
1
+
x
2
2
x
)
Open in App
Solution
s
i
n
−
1
(
1
+
x
2
2
x
)
−
1
≤
(
1
+
x
2
2
x
)
≤
1
⇒
∣
∣
1
+
x
2
2
x
∣
∣
≤
1
1
+
x
2
2
x
≤
±
1
1
+
x
2
≤
±
2
x
1
+
x
2
≤
2
x
1
+
x
2
≤
2
x
1
+
x
2
−
2
x
≤
0
1
+
2
x
+
x
2
≤
0
(
1
−
x
)
2
≤
0
(
1
+
x
)
2
≤
0
1
−
x
≤
0
1
+
x
≤
0
1
≤
x
x
≤
−
1
⇒
x
ϵ
[
1
,
∞
)
⇒
x
ϵ
(
−
∞
,
−
1
]
∴
D
o
m
a
i
n
=
(
−
∞
,
−
1
]
∪
[
1
,
∞
)
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