If f(x),g(x),h(x) are nonegative real functions[§] consider functions:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A(x)=\sqrt{f(x)} + \sqrt{g(x)} + \sqrt{h(x)}[/tex]

[tex]B(x)=f(x)+g(x)+h(x)[/tex]

What can be said concerning the comparation of total number of stationary points of A(x) and B(x)?

If B(x) has ,let say,3 stationary points (and extremes),does that means that A(x) has AT MOST 3 stationary points as well?

[§]=example for functions f(x),g(x),h(x):

[tex]f(x)=|x^3 - 5x^2 + 3x - 9|[/tex]

[tex]g(x)=(sinx)^2[/tex]

[tex]h(x)=x^2 + 1[/tex]

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# Set of stationary points comparation

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