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[tex]f(x):=\frac{1+(1+x)^{4}+(1-2x)^{4}}{\sqrt[4]{1+x^{4}}}[/tex]

and [tex]x_{0}[/tex] be the minimizer of [tex]f(x)[/tex].

Is it true that

[tex]x_{0}[/tex] is the maximizer of

[tex]g(x):=\frac{1+(1+x)(1+x_{0})^{3}+(1-2x)(1-2x_{0})^{3}}{\sqrt[4]{1+x^{4}}}?[/tex]

Thanks in advance for any helpful answer.

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# Homework Help: Functions extreminizer

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