Suppose That $g$ Is the Inverse of a Function $f$ If $f ( 4 ) = 3$

Multiple Choice

Suppose that $g$ is the inverse of a function $f$ . If $f ( 4 ) = 3$ and $f ^ { \prime } ( 4 ) = 2$ , find $g ^ { \prime } ( 3 )$ .

A) 3
B) $\frac { 1 } { 2 }$
C) 4
D) $\frac { 2 } { 3 }$