Chapter 6.4, Problem 6P

To determine

(a)

To find:

The value of $\left[T_1\left(f\right)\right]\left(x\right)$ and $\left[T_2\left(f\right)\right]\left(x\right)$ and show that for the given function,

$\left[T_1{T}_2\right]\left(f\right)=\left[T_2{T}_1\right]\left(f\right)=f$.

To determine

(b)

To show:

That for the general function $f$ and $g$,

$\left[T_1{T}_2\right]\left(f\right)=f$ And $\left\{\left[T_2{T}_1\right]\left(g\right)\right\}\left(x\right)=g\left(x\right)-g\left(a\right)$.