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