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  4. If f ( x )=1+3 x 2+5 x 4+7 x 6 ldots ldots+2015 x 2014 and f (2)=5, then f (-2) is equal to

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Q. If $f ( x )=1+3 x ^2+5 x ^4+7 x ^6 \ldots \ldots+2015 x ^{2014}$ and $f (2)=5$, then $f (-2)$ is equal to

Relations and Functions - Part 2

Solution:

$\Theta f(x)-f(-x)=0$
$\Rightarrow f ( x )= f (- x ) $
$\therefore f (-2)=5$