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[函数] 一个集合包含的函数问题

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力工 posted 2019-9-1 10:58 |Read mode
已知函数$f(2x)=ax^2,g(x)=e^x$,且不等式$f(2x)+g(x)\leqslant b$的解集为$A$,
$f(x)+g(2x)\leqslant b$的解集为$B$.求是否存在正整数$b$,当$0<a\leqslant1$,使
$A$是$B$的子集或$B$是$A$的子集,说明理由.
这种题好象有些怪,不知如何下手。

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kuing posted 2019-9-1 22:30
何止怪,简直让人一丁点撸的欲望都木有

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original poster 力工 posted 2019-9-2 07:53
也没找到啥子几何意义,真是个怪题。为题而题么?

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