Is there a name for the function $1 / (1 + x)$? Does the function 
$$f(x) = \frac{1}{1  + x}$$ 
have a recognizable name?
For example a related function with a recognizable name is the logistic function, defined by:
$$l(x) = \frac{1}{1  + e^{-x}}$$
Note: By the way I am quite happy with functions without name.... except when I have to write code for a program, then I wish for nice names.

This is a homographic function.
As a curve, it is also an equilateral hyperbola.
