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Question
Mathematics
If f (x)=[x] and g(x)=x-[x], then which of the following is the zero function?
Q. If
f
(
x
)
=
[
x
]
and
g
(
x
)
=
x
−
[
x
]
, then which of the following is the zero function?
1988
230
Relations and Functions
Report Error
A
(
f
+
g
)
(
x
)
19%
B
(
f
g
)
(
x
)
28%
C
(
f
−
g
)
(
x
)
19%
D
None of these
34%
Solution:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
=
[
x
]
+
(
x
−
[
x
]
)
=
x
(
f
g
)
(
x
)
=
f
(
x
)
.
g
(
x
)
=
[
x
]
(
x
−
[
x
]
)
(
f
−
g
)
(
x
)
=
f
(
x
)
−
g
(
x
)
=
[
x
]
−
(
x
−
[
x
]
)
=
2
[
x
]
−
x