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 $\mathrm{f}\left( x \right)-2\mathrm{f}\left( 4-x \right)={{x}^{2}}+1$ . Determine a simplified expression for $y=\mathrm{f}\left( x \right)$.

Accepted Answer

${-x^2 + \frac{16}{3}x + \frac{35}{3}}$

Functions and Graphs - Functional Equations by Substitution

Functions and Graphs - Functional Equations by Substitution

Video Solution:

Solution:

Solution locked