Chapter 12, Problem 23CR

(a)

To determine

The verification of identity $f\left(x\right)=f_e\left(x\right)+f_o\left(x\right)$ for the function $f_e\left(x\right)=\frac{f\left(x\right)+f\left(-x\right)}{2}\text{and}{f}_o\left(x\right)=\frac{f\left(x\right)-f\left(-x\right)}{2}$.

(b)

To determine

The verification of the function $f_e$ as an even function and $f_o$ as an odd function.