Let $f$ be a function continuous on ${[x_1,x_2]}$ with the minimum equal $y$. Find the functions $f$ such that min of ${f\left(\frac{1}{x}\right)=}$ min of ${f(x)}$
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What have you tried? What do you know about the problem? – Dylan C. Beck Jun 19 '20 at 17:42
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I suppose it lacks some information. We have to see the codomain if we can have f(1/x) and if 1/x reaches its limit there. I can't solve it if it needs superior analysis – Jack Jun 19 '20 at 18:04
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You use the letter $f$ for different purposes. – Go back to the source of your problem and make sure that you have copied everything, and correctly. – Christian Blatter Jun 19 '20 at 18:12
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I meant $f$ not f – Jack Jun 19 '20 at 18:14
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@Jack, before I offer any assistance, I would like to see your thoughts on the problem. What do you know about extrema of continuous functions on closed domains? – Dylan C. Beck Jun 19 '20 at 18:31