Maple Command

Maple Response

f:= (x,r)-> r*x*(1-x);  f := (x, r) -> r x (1 - x) 
g:= (x,r)-> f(f(x,r),r);  g := (x, r) -> f(f(x, r), r) 
eqn:= g(x,r) = x;  eqn := r2 x (1 - x) (1 - r x (1 - x)) = x 
solutions:= {solve(eqn,x)};   
 
subs(r=3.2, solutions);  {0, .6875000000, .5130445097, .7994554906}