Let f, g, h be functions each with range of R, such that f(g(x)) = x and g(h(x)) = x. Prove that f = h.

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- September 30th 2012, 12:42 PMzannagorfeproving three different functions
Let f, g, h be functions each with range of R, such that f(g(x)) = x and g(h(x)) = x. Prove that f = h.

Thanks for your help - September 30th 2012, 12:54 PMSironRe: proving three different functions
You need to prove thus .

So start with and try to get using the given information. - September 30th 2012, 01:14 PMzannagorfeRe: proving three different functions
what information? i dont see very much information in this question

- September 30th 2012, 01:39 PMPlatoRe: proving three different functions