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Problem
Problem
If
f
(
x
)
=
2
[
x
]
+
cos
x
f(x) = 2[x] + \cos x
f
(
x
)
=
2
[
x
]
+
cos
x
, then
f
:
R
→
R
f: R \rightarrow R
f
:
R
→
R
is: (where
[
.
]
[.]
[
.
]
denotes greatest integer function) (a) one-one and onto (b) one-one and into (c) many-one and into (d) many-one and onto
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