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
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You need to prove $\displaystyle f=h$ thus $\displaystyle \forall x: f(x)=h(x)$. So start with $\displaystyle f(x)$ and try to get $\displaystyle h(x)$ using the given information.
what information? i dont see very much information in this question
Originally Posted by zannagorfe what information? i dont see very much information in this question $\displaystyle \forall t$ we have $\displaystyle f[t]=f[g(h(t))]=f(g[h(t)])=h(t)$. Follow the groupings carefully .
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