/sci/ - Science & Math

This is a dumb question, but I'll try to explain my logic
Pic related looks like a logarithm.
Logarithms are similar to the arccosh(x) function, like so:
>[math]arccosh(x)=ln(x+\sqrt{(x-1)(x+1)})[/math]
Is it fair to assume that the distribution of mass follows an arccosh(x) function, and from there, try to fit the data to it?
The arccosh(x) function is undefined on (-1, 1). Could this undefined region correspond to the radius of the galaxy's supermassive black hole? Does it correspond to the average mass of the galaxy?

Why pop-science are so shy to talk about fail cases of dark-matter theory? This is literally the only video I seen that even mention it. This is extremely suspicious. Where that agenda is come from?
https://www.youtube.com/watch?v=FN2d2cmi_Gk