Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
The domain of
f
(
x
)
f(x)
f
(
x
)
such that the
f
(
x
)
=
[
x
+
1
2
]
[
x
−
1
2
]
f(x) = \frac{[x + \frac{1}{2}]}{[x - \frac{1}{2}]}
f
(
x
)
=
[
x
−
2
1
]
[
x
+
2
1
]
is prime is
[
x
1
,
x
2
)
[x_1, x_2)
[
x
1
,
x
2
)
, then the value of
2
(
x
1
2
+
x
2
2
)
2(x_1^2 + x_2^2)
2
(
x
1
2
+
x
2
2
)
. [Where
[
⋅
]
[\cdot]
[
⋅
]
denotes greatest integer function less than or equal to
x
x
x
]
Browse the problem library