Chapter 4.1, Problem 101PE

(a)

To determine

To graph: The function of $y=f\left(x\right)$,$y=g\left(x\right)$ and the line $y=x$ and also determine that f and g are inverse and why.

(b)

To determine

To Calculate: Enter the following functions $\boxed{Y_1=2x-1}$, $\boxed{Y_2=(x+1)/2}$ $\boxed{Y_3=Y_1(Y_2)}$ and $\boxed{Y_4=Y_2(Y_1)}$ into the graphing editor.

(c)

To determine

To Calculate: Create a table of points showing $Y_3$ and $Y_4$ for several values of x. Does the table suggest that f and g are inverses and why for $f(x)=2x-1$ and $g(x)=\frac{x+1}{2}$.