Suppose That $F ( x ) = f ( g ( x ) )$

Multiple Choice

Suppose that $F ( x ) = f ( g ( x ) )$ and $g ( 3 ) = 5$ , $g ^ { \prime } ( 3 ) = 3 \text {, }$ $f ^ { \prime } ( 3 ) = 1 , f ^ { \prime \prime } ( 5 ) = 4$ Find the value of $F ^ { \prime } ( 3 )$

A) 3
B) 4
C) 7
D) 9
E) 12
F) 15
G) 17
H) 20