Find the Equation of the Function Whose Derivative Is $f ^ { \prime } ( x ) = \frac { x ^ { 2 } + 9 x + 7 } { x - 1 }$

Multiple Choice

Find the equation of the function whose derivative is $f ^ { \prime } ( x ) = \frac { x ^ { 2 } + 9 x + 7 } { x - 1 }$ and whose graph passes through the point $( 2,4 )$ .

A) $\frac { x ^ { 2 } } { 2 } + 10 x + 17 \ln | x - 1 | - 19$
B) $\frac { x ^ { 2 } } { 2 } + 9 x + 17 \ln | x - 1 | - 18$
C) $\frac { x ^ { 2 } } { 2 } + 10 x + 17 \ln | x - 1 | - 18$
D) $\frac { x ^ { 2 } } { 2 } + 9 x + 7 \ln | x - 1 | - 18$
E) $\frac { x ^ { 2 } } { 2 } + 10 x + 7 \ln | x - 1 | - 19$