Find a Function That Satisfies the Conditions $f ^ { \prime \prime } ( x ) = x ^ { 5 } , f ^ { \prime } ( 0 ) = 9 , f ( 0 ) = 5$

Multiple Choice

Find a function that satisfies the conditions $f ^ { \prime \prime } ( x ) = x ^ { 5 } , f ^ { \prime } ( 0 ) = 9 , f ( 0 ) = 5$ .

A) $f ( x ) = \frac { 1 } { 6 } x ^ { 6 } + 9 x$
B) $f ( x ) = \frac { 1 } { 42 } x ^ { 7 } + 9 x + 5$
C) $f ( x ) = \frac { 1 } { 42 } x ^ { 6 } + 9 x + 5$
D) $f ( x ) = \frac { 1 } { 7 } x ^ { 7 } + 9 x$
E) $f ( x ) = \frac { 1 } { 42 } x ^ { 6 } + 5 x + 9$