Calculate $g ( x )$ , Where $g = f ^ { - 1 }$

Short Answer

Calculate $g ( x )$ , where $g = f ^ { - 1 }$ . State the domain and range of $g$ . Calculate $g ^ { \prime } ( a )$ .
$$f ( x ) = \frac { 1 } { x - 3 } , x > 3 ; a = 2$$