Is there a name for the function $1 / (1 + x)$?

Question

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.

Answer 1

This is a homographic function.

As a curve, it is also an equilateral hyperbola.