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The function $y=\mathrm{f}\left( x \right)$, $x\in \mathbb{R}$ satisfies
$\mathrm{f}\left( x \right)-2\mathrm{f}\left( 4-x \right)={{x}^{2}}+1$ .
Determine a simplified expression for&nbsp;$y=\mathrm{f}\left( x \right)$.

The function $y=\mathrm{f}\left( x \right)$, $x\in \mathbb{R}$ satisfies

$\mathrm{f}\left( x \right)-2\mathrm{f}\left( 4-x \right)={{x}^{2}}+1$ .

Determine a simplified expression for $y=\mathrm{f}\left( x \right)$.

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The function $y=\mathrm{f}\left( x \right)$, $x\in \mathbb{R}$ satisfies
$\mathrm{f}\left( x \right)+2\mathrm{f}\left( 2-x \right)={{x}^{2}}$.
Determine a simplified expression for&nbsp;$y=\mathrm{f}\left( x \right)$.

$\mathrm{f}\left( x \right)+2\mathrm{f}\left( 2-x \right)={{x}^{2}}$.

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