Question

What are the properties of an inverse function ?

Answer 1

1. Only one to one functions have inverses

If g is the inverse of f then f is the inverse of g. We say f and g are inverses of each other.

2. If f and g are inverses of each other then both are one to one functions.

3. f and g are inverses of each other if and only if

(f o g)(x) = x , x in the domain of g

and

(g o f)(x) = x , x in the domain of f

Answer 2

Thanks

Answer 3

Medal? :P