How would i go about solving this problem? Would i start with f(x) = f(y) ?
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Originally Posted by kensington How would i go about solving this problem? Would i start with f(x) = f(y) ? Either I'm missing something or this is immediate: $\displaystyle x\neq y\Longrightarrow |f(x)-f(y)|=c|x-y|^\alpha > 0$ , and we're done... Tonio
Yes, you can start with f(x)= f(y) which, using Tonio's point, immediately gives x= y.
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