KöMaL 2022 C1739

Define the following functions on the largest possible subset of the set of real numbers: $f(x)=\sqrt{x+5}\,$, $g(x)=\frac{-2x+8}{5}$ and $h(x)=[x+3]$ (here $[a]$ denotes the integer part of the real number $a$, that is, the greatest integer which is not greater than $a$). Find the common points of the graphs of the three functions.