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Byju's Answer
Standard XII
Mathematics
Domain
f(x)=(x/1-|x|...
Question
f(x)=(x/1-|x|) ^1/1996
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Solution
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4
Similar questions
Q.
Let
f
(
x
)
=
9
x
9
x
+
3
. Show
f
(
x
)
+
f
(
1
−
x
)
=
1
, and hence evaluate
f
(
1
1996
)
+
f
(
2
1996
)
+
f
(
3
1996
)
+
.
.
.
+
f
(
1995
1996
)
.
Q.
l
i
m
x
→
1
l
o
g
x
x
−
1
=
[Rpet 1996; MP PET 1996; P.CET 2002]
Q.
if
f
(
x
)
=
9
x
9
x
+
3
then
f
(
1
1996
)
+
f
(
2
1996
)
+
.
.
.
.
.
.
.
.
.
Q.
Let
f
(
x
)
=
m
a
x
.
{
(
1
−
x
)
,
(
1
+
x
)
,
2
}
,
∀
x
∈
R
.
then
(A)
f
(
x
)
=
{
1
+
x
,
x
≤
−
1
2
,
−
1
<
x
<
1
1
−
x
,
x
≥
1
}
(B)
f
(
x
)
=
{
1
−
x
,
x
≤
−
1
2
,
−
1
<
x
<
1
1
−
x
,
x
≥
1
}
(C)
f
(
x
)
=
{
1
−
x
,
x
≤
−
1
1
,
−
1
<
x
<
1
1
+
x
,
x
≥
−
1
}
Q.
f
(
x
)
=
⎧
⎨
⎩
x
|
x
|
x
≤
−
1
[
1
+
x
]
+
[
1
−
x
]
−
1
<
x
<
1
−
x
|
x
|
x
≥
1
, then
f
(
x
)
is
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