Consider the following.

f$($x$)=$

$4$ x

$,$g$($x$)=$

x $5$

$($a$)$

Find the function

$($f $$ g$)($x$).$

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

$4$x$5$

Find the domain of

$($f $$ g$)($x$).$

$($Enter your answer using interval notation.$)$

$($$,21]$

$($b$)$

Find the function

$($g $$ f$)($x$).$

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

$4$x$5$

Find the domain of

$($g $$ f$)($x$).$

$($Enter your answer using interval notation.$)$

$($$,21]$

$($c$)$

Find the function

$($f $$ f$)($x$).$

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

$44$x

Find the domain of

$($f $$ f$)($x$).$

$($Enter your answer using interval notation.$)$

$($$,4]$

$($d$)$

Find the function

$($g $$ g$)($x$).$

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

$$x$55$

Find the domain of

$($g $$ g$)($x$).$

$($Enter your answer using interval notation.$)$