Consider $f(x) = 2x$ and $g(x)=4x$. Is there any homeomorphism $h:\mathbb{R}\rightarrow \mathbb{R}$ such that $h\circ f=g\circ h$
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$