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Problem
Problem
The domain of the function
f
(
x
)
=
sin
−
1
(
∣
x
∣
+
5
x
2
+
1
)
f(x) = \sin^{-1}\left(\frac{|x|+5}{x^2+1}\right)
f
(
x
)
=
sin
−
1
(
x
2
+
1
∣
x
∣
+
5
)
is
(
−
∞
,
−
a
]
∪
[
a
,
∞
)
(-\infty, -a] \cup [a, \infty)
(
−
∞
,
−
a
]
∪
[
a
,
∞
)
. Then
a
a
a
is equal to: (a)
1
+
17
2
\frac{1+\sqrt{17}}{2}
2
1
+
17
(b)
17
2
+
1
\frac{\sqrt{17}}{2} + 1
2
17
+
1
(c)
17
−
1
2
\frac{\sqrt{17}-1}{2}
2
17
−
1
(d)
17
2
\frac{\sqrt{17}}{2}
2
17
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