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Mathematics
Mathematics
Problem
Domain of definition of the function
f
(
x
)
=
sin
−
1
(
2
x
)
+
π
6
f(x) = \sqrt{\sin^{-1}(2x) + \frac{\pi}{6}}
f
(
x
)
=
sin
−
1
(
2
x
)
+
6
π
for real valued
x
x
x
, is a.
[
−
1
4
,
1
2
]
\left[-\frac{1}{4}, \frac{1}{2}\right]
[
−
4
1
,
2
1
]
b.
[
−
1
2
,
1
2
]
\left[-\frac{1}{2}, \frac{1}{2}\right]
[
−
2
1
,
2
1
]
c.
(
−
1
2
,
1
9
)
\left(-\frac{1}{2}, \frac{1}{9}\right)
(
−
2
1
,
9
1
)
d.
[
−
1
4
,
1
4
]
\left[-\frac{1}{4}, \frac{1}{4}\right]
[
−
4
1
,
4
1
]
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