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Tardigrade
Question
Mathematics
The domain of the function f ( x )=( operatornamearc cot x /√ x 2-[ x 2]), where [ x ] denotes the greatest integer not greater than x, is :
Q. The domain of the function
f
(
x
)
=
x
2
−
[
x
2
]
arc
c
o
t
x
, where
[
x
]
denotes the greatest integer not greater than
x
, is :
154
150
Inverse Trigonometric Functions
Report Error
A
R
B
R
−
{
0
}
C
R
−
{
±
n
:
n
∈
I
+
∪
{
0
}
}
D
R
−
{
n
:
n
∈
I
}
Solution:
x
2
−
[
x
2
]
=
{
x
2
}
>
0
;
but
0
≤
{
y
}
<
1
⇒
{
x
2
}
=
0
⇒
x
=
±
n