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If y = x/(x^2 + 2x + 1)  and x is any real number, then what is the sum of the maximum and minimum possible values of y?

 Jun 19, 2024
 #1
avatar+1926 
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There actually is no minmum for y. 

The range for y is \(f\left(x\right)\le \frac{1}{4}\) as there is no limits to how small it can be. 

There is a maximum of 1/4, as the max point is

\(\left(1,\:\frac{1}{4}\right)\)

 

Thanks! :)

 Jun 19, 2024

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