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Mathematics
Mathematics
Problem
2. For
x
∈
[
−
1
,
1
]
x\in[-1,1]
x
∈
[
−
1
,
1
]
, determine the range of the function
f
(
x
)
=
3
+
arcsin
x
f(x)=3+\arcsin x
f
(
x
)
=
3
+
arcsin
x
. a)
(
3
−
π
2
,
3
+
π
2
)
(3-\tfrac{\pi}{2},\,3+\tfrac{\pi}{2})
(
3
−
2
π
,
3
+
2
π
)
b)
[
3
−
π
,
3
+
π
]
[3-\pi,\,3+\pi]
[
3
−
π
,
3
+
π
]
c)
[
3
−
π
2
,
3
+
π
2
]
[3-\tfrac{\pi}{2},\,3+\tfrac{\pi}{2}]
[
3
−
2
π
,
3
+
2
π
]
d)
[
2
,
4
]
[2,\,4]
[
2
,
4
]
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