Question

Let f--1 = 1/f

Answer 1

Answer:

For all real numbers x, define the function f by f(x)=0 if x≠1 and f(1)=2.

Step-by-step explanation:

The domain of f is the set of real numbers (R). To define $f^{-1}(x)=1/f(x)$ at a point x, we need that f(x)≠0 as division by zero is undefined.

However, there is only one point x such that f(x)≠0, the point x=1.

Thus $f^{-1}(1)=1/f(1)=1/2$ and the domain of $f^{-1}$ is the set {1}.