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Problem
Problem
If
f
(
x
)
=
π
(
x
+
7
−
4
x
−
9
)
f(x) = \pi \left( \frac{\sqrt{x+7}-4}{x-9} \right)
f
(
x
)
=
π
(
x
−
9
x
+
7
−
4
)
, then the range of function
y
=
sin
(
2
f
(
x
)
)
y = \sin(2f(x))
y
=
sin
(
2
f
(
x
))
is (a)
[
0
,
1
]
[0, 1]
[
0
,
1
]
(b)
(
0
,
1
2
]
\left(0, \frac{1}{\sqrt{2}}\right]
(
0
,
2
1
]
(c)
(
0
,
1
2
)
∪
(
1
2
,
1
]
\left(0, \frac{1}{\sqrt{2}}\right) \cup \left(\frac{1}{\sqrt{2}}, 1\right]
(
0
,
2
1
)
∪
(
2
1
,
1
]
(d)
(
0
,
1
]
(0, 1]
(
0
,
1
]
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