MathDB

Calculate the value of f (2018)

Source: Brazil Undergrad MO - Galois-Noether 2018 #13

November 26, 2019

functionBrazilian Math Olympiadcollege contestsalgebra

Problem Statement

A continuous function

f: \mathbb {R} \to \mathbb {R}

satisfies

f (x) f (f (x)) = 1

for every real

x

and

f (2020) = 2019

. What is the value of

f (2018)