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Problem
Problem
Let
f
(
x
)
=
x
−
[
x
]
1
+
x
−
[
x
]
f(x) = \frac{x - [x]}{1 + x - [x]}
f
(
x
)
=
1
+
x
−
[
x
]
x
−
[
x
]
,
R
→
A
R \rightarrow A
R
→
A
is onto then find set
A
A
A
. (where
{
.
}
\{.\}
{
.
}
and
[
.
]
[.]
[
.
]
represent fractional part and greatest integer part functions respectively) (a)
(
0
,
1
2
]
\left(0, \frac{1}{2}\right]
(
0
,
2
1
]
(b)
[
0
,
1
2
]
\left[0, \frac{1}{2}\right]
[
0
,
2
1
]
(c)
[
0
,
1
2
)
\left[0, \frac{1}{2}\right)
[
0
,
2
1
)
(d)
(
0
,
1
2
)
\left(0, \frac{1}{2}\right)
(
0
,
2
1
)
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