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 [tex]f^{-1}(x)=1/f(x)[/tex] 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 [tex]f^{-1}(1)=1/f(1)=1/2[/tex] and the domain of [tex]f^{-1}[/tex] is the set {1}.
