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Given 2 quadratic functions $f$ and $g$, such that $f(x)=ax²+bx+c$ and $g(x)=cx²+bx+a$ and the absolute value of $f(x)$ is less than $1$, for each $x\in[-1,1]$, prove that the absolute value of $g(x)$ is less than $2$, for each $x\in[-1,1]$.

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    And where is the attempt?2011-06-28
  • 3
    @Theo: $\varnothing$ :-P2011-06-28
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    Are you sure the question states that the absolute value of $f(x)$ is less than 1 or less than or equal to 1?2011-06-28

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