Composing function The function is $f: \Bbb{R}\rightarrow\Bbb{R}$ defined as $f(x)= 2/ (x -3).$
I need to find $(f o f)(1).$
I would like to ask which of the following answers are the right one for writing this function.
$( f o f) ( 1 ) = ( f ( f ( 1 ) ) )= ( f ( 2/ 1 - 3) = ( 2 / 1 - 3 - 2 ) = -1/2 $
or
$( f o f ) ( 1 ) = ( f ( f (1) ) )= f( 2/ 1 - 3 ) = 2 / ( 2/ 1 - 3 ) - 3 = 2 / ( - 2 ) - 3 = -4$

If $f(x) = \frac{2}{x} -3 $, then
\begin{align*}
(f\circ f)(x) = f(f(x)) = \frac{2}{f(x)}-3 = \frac{2}{\frac{2}{x}-3}-3
\end{align*}
And thus
\begin{align*}
(f\circ f)(1) = \frac{2}{\frac{2}{1}-3}-3 = \frac{2}{-1}-3 = -5
\end{align*}
