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Question
Mathematics
The domain of the function f(x) = (sin-1(x-3)/√9-x2) is
Q. The domain of the function
f
(
x
)
=
9
−
x
2
s
i
n
−
1
(
x
−
3
)
is
2410
201
AIEEE
AIEEE 2004
Inverse Trigonometric Functions
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A
[2, 3]
27%
B
[2, 3)
44%
C
[1, 2]
21%
D
[1, 2)
8%
Solution:
9
−
x
2
>
0
and
−
1
≤
x
−
3
≤
1
⇒
x
∈
[
2
,
3
)