Thread: Prove that function is inverse of itself?

Show that the function given by , where is inverse of itself.

Originally Posted by fardeen_gen

Show that the function given by , where is inverse of itself.

How have you been taught to find the inverse of a function and where are you stuck in that procedure?

e.g. it is the identity element. This is given that we know is its own inverse.

Originally Posted by fardeen_gen

Show that the function given by , where is inverse of itself.

For two functions, g(x) and f(x), to be inverses of eachother, g(f(x))=x and f(g(x))=x

So if f(x) is it's own inverse, then f(f(x))=x and swapping the order, f(f(x))=x, which is the same identity.

So f(f(x))=

Originally Posted by Sampras

e.g. it is the identity element. This is given that we know is its own inverse.

No
We want(ed) to prove it...