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2023 IMC
1
1
Part of
2023 IMC
Problems
(1)
Differential FE
Source: 2023 IMC #1
8/2/2023
Find all functions
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
that have a continuous second derivative and for which the equality
f
(
7
x
+
1
)
=
49
f
(
x
)
f(7x+1)=49f(x)
f
(
7
x
+
1
)
=
49
f
(
x
)
holds for all
x
∈
R
x \in \mathbb{R}
x
∈
R
.
calculus
derivative
functional equation
IMC
function
IMC 2023