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Problem
Problem
Let
f
:
(
2
,
4
)
→
(
1
,
3
)
f: (2, 4) \rightarrow (1, 3)
f
:
(
2
,
4
)
→
(
1
,
3
)
be a function defined by
f
(
x
)
=
x
−
[
x
2
]
f(x) = x - \left[\frac{x}{2}\right]
f
(
x
)
=
x
−
[
2
x
]
(where
[
⋅
]
[\cdot]
[
⋅
]
denotes the greatest integer function), then
f
−
1
(
x
)
f^{-1}(x)
f
−
1
(
x
)
is equal to: (a)
2
x
2x
2
x
(b)
x
+
[
x
2
]
x + \left[\frac{x}{2}\right]
x
+
[
2
x
]
(c)
x
+
1
x + 1
x
+
1
(d)
x
−
1
x - 1
x
−
1
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