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Question
Mathematics
The domain of f(x) = (sin-1x/x) is
Q. The domain of
f
(
x
)
=
x
s
i
n
−
1
x
is
1265
199
Inverse Trigonometric Functions
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A
[
−
1
,
1
]
53%
B
{
0
}
15%
C
[
−
1
,
0
)
21%
D
None of these
11%
Solution:
f
(
x
)
=
x
s
i
n
−
1
x
=
t
(
x
)
g
(
x
)
,
t
(
x
)
=
0
t
(
x
)
=
0
⇒
x
=
0
, Again, Domain of
g
(
x
)
is
[
−
1
,
1
]
Now, using concept
Domain of
f
(
x
)
=
(
t
(
x
)
Domain of
g
(
x
)
)
=
Domain of
g
(
x
)
−
set of those points for which
t
(
x
)
=
0
If
g
(
x
)
,
t
(
x
)
is defined
∀
x
∈
R
∴
Domain of
f
(
x
)
=
[
−
1
,
1
]
−
{
0
}