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 $x\in[-1,1]$.
help complete this attempt (real analysis)
1
$\begingroup$
real-analysis
-
15And where is the attempt? – 2011-06-28
-
3@Theo: $\varnothing$ :-P – 2011-06-28
-
0Are 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