For the following function find $($a$)f(6),($b$)f(-\frac{1}{2}),($c$)f(a),($d$)f(\frac{2}{m}),$ and $($e$)$ any values of x such that $f(x)=1.$

$f(x)=\{\begin{array}{ccc}\frac{2x+4}{x-6}& if& x6\\ 7& if& x=6\end{array}$

$($a$)$ Find the value of $f(6).$

$f(6)=$

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