$[-/5$ Points$]$

LARCALCET$71\mathrm{.}5\mathrm{.}009.$

ASK Y

Show that $f$ and $g$ are inverse functions analytically and graphically.

$f(x)=3x+1,g(x)=\frac{x-1}{3}$

$($a$)$ Show that $f$ and $g$ are inverse functions analytically. $($Simplify your answers completely.$)$

$($b$)$ Show that $f$ and $g$ are inverse functions graphically.