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  4. Consider f(x)=x7+x2 sin x+x4(ex-e-x)+x2+1, if f(2)=α, then f(-2) equals

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Q. Consider $f(x)=x^7+x^2 \sin x+x^4\left(e^x-e^{-x}\right)+x^2+1$, if $f(2)=\alpha$, then $f(-2)$ equals

Relations and Functions - Part 2

Solution:

$f(x)+f(-x)=2 x^2+2$
$f (2)+ f (-2)=10 $
$f (-2)=10-\alpha$