Hello,

I have a function to inverse, I proved that thise function is inversible but I didn't manage to find the expression of the inverse:

here is the function:
y= ((P1*A*r^(-alpha))/(N+(P2*A*(r^2-2*R*cos(theta)*r+R^2)^(-alpha/2))))

the function is decreasing for r< R/cos(theta)

so I have to find the expression of 'r' in function of y,P1, P2, alpha, N, R.

all the parameters here are positive; and r<R/cos(theta).


I used matlab (with 'solve' function) but it didn't manage to inverse this function.

Thanks for your precious help