I am to solve for $r(\rho)$ given the function,
ρAsymp[r_, b_, q_] := 1/(1 - q) Gamma[1/(1 - q)]/Gamma[(q - 2)/(q - 1)] r Sqrt[1 - (b/r)^(1 - q)]
This can be solved in a straightforward way by converting this into a quadratic equation and use
Solve to find for the root corresponding to $r(\rho)$ for every value of $q$. But I have difficulty implementing the
InverseFunction to this problem.
Can someone help me with this? Also, I want to scan $r(\rho)$ for all values of $q<1$, how can I implement this by using a