Consider the following functions.

f$($x$)=$

$1$x $5$

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

$1$x

$9$

$($a$)$

Find

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

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

State the domain of the function. $($Enter your answer using interval notation.$)$

$($b$)$

Find

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

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

State the domain of the function. $($Enter your answer using interval notation.$)$

$($c$)$

Find

$($fg$)($x$).$

$($fg$)($x$)=$

State the domain of the function. $($Enter your answer using interval notation.$)$

$($d$)$

Find

fg

$($x$).$

fg

$($x$)=$

State the domain of the function. $($Enter your answer using interval notation.$)$