Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a derivable function at
x
=
0
x = 0
x
=
0
and
f
(
x
+
y
K
)
=
f
(
x
)
+
f
(
y
)
K
f\left(\frac{x+y}{K}\right) = \frac{f(x) + f(y)}{K}
f
(
K
x
+
y
)
=
K
f
(
x
)
+
f
(
y
)
(
K
∈
R
,
K
≠
0
,
2
K \in \mathbb{R}, K \neq 0, 2
K
∈
R
,
K
=
0
,
2
). Then,
f
(
x
)
f(x)
f
(
x
)
is a. even function b. neither even nor odd function c. either zero or odd function d. either zero or even function
Browse the problem library