Answer the questions about the following function.

$f(x)=\frac{x+3}{x-5}$

$($a$)$ Is the point $(2,9)$ on the graph of $f?$

$($b$)$ If $x=1,$ what is $f(x)?$ What point is on the graph of $f?$

$($c$)$ If $f(x)=2,$ what is $x?$ What point$($s$)$ is $($are$)$ on the graph of $f?$

$($d$)$ What is the domain of $f?$

$($e$)$ List the $x-$intercepts, if any, of the graph of $f.$

$($f$)$ List the $y-$intercept, if there is one, of the graph of $f.$

$($g$)$ What are the zeros of $f?$

$($a$)$ Is the point $(2,9)$ on the graph of f$?$

A$.$ No$,$ because the domain of the function does not include $x=2.$

B$.$ No$,$ because when the function is evaluated for $x=2,$ the result is different than $9.$

C$.$ Yes, the point is on the graph of $f.$

D$.$ No$,$ because the minimum of the function is larger than $9.$

$($b$)$ If $x=1,$ what is $f(x)?$

$f(1)=$

$($Type an integer or a simplified fraction.$)$