Consider the following functions.

f$($x$)=7$x $+3$

$$

g$($x$)=$

x $37$

$($a$)$

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

f$($g$($x$))=7$

$+3=$

x

g$($f$($x$))=$

$37$

$=$

x