https://qualityhomeworkanswers.com/statistics-homework-help-178-2/

Suppose f and g are conjugate to one another (that there exists a homeomorphism h such that h(f(x)) = g(h(x)).if p is an attractive fixed point of f, show that h(p) is an attractive fixed point of g, where a fixed point is a point p such that f(p) = p