I'm trying to replicate a simulation study in a paper. For that I would need the inverse of this function:
Plugging this unto Maxima returns:
solve(y=x^(beta)*((x-1)^6+1),x); beta beta + 3 [x = y - x ]
which doesn't help me one bit. The fact that it's used in this paper leads me to think that the inverse of this function is probably well known. It's just not known to me.
Alternatively, is there a general numerical strategy to find the inverse of a function for a grid of values of x?