# What a function

Author: mathforces
Problem has been solved: 37 times

Русский язык | English Language

We define a function $f: R ^ 2-> R$ such that $f (x, y) = \frac {3x + 8y} {xy + 24}$. The value of the expression $f (f (... f (f (f (2020,2019), 2018), 2017), ..., 2), 1)$ can be represented as the irreducible fraction $\frac {m} { n}$, where $m$ and $n$ are natural numbers. What is $m + n$ equal to?