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avatar+167 

For what real value of  \(\textcolor{red}{N}\)  does the range of the function 

                                                                                        \(\textcolor{red}{y = f(x) = \frac{4x^2 + Nx + N}{x + 1}}\)
where  \(\textcolor{red}{x}\)  ranges over all real numbers except  \(\textcolor{blue}{-1}\)  consist of all real numbers except for a single interval of the form \(\textcolor{green}{-L < y < L}\)?

 Nov 21, 2019
 #1
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I'm getting N = 24.

 Nov 21, 2019
 #2
avatar+167 
-1

I'm sorry but that's incorrect.

 Nov 22, 2019

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