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

Question

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 $y=\mathrm{f}\left( x \right)$.

Accepted Answer

${\frac{1}{3}x^2 - \frac{8}{3}x + \frac{8}{3}}$

Functions and Graphs - Functional Equations by Substitution

Functions and Graphs - Functional Equations by Substitution

Video Solution:

Solution:

Solution locked