Find a Function F(x) with the Following Property: F'(x) = $\frac { 1 } { 4 - x }$

Multiple Choice

Find a function f(x) with the following property: f'(x) = - $\frac { 1 } { 4 - x }$ , f(2) = 0.

A) f(x) = $- ( 4 - x ) ^ { - 2 }$ + $\frac { 1 } { \sqrt { 2 } }$
B) f(x) = ln $\frac { 1 } { 4 - x }$ + $\frac { 1 } { 2 }$
C) f(x) = ln $| 4 - x |$ - 2
D) f(x) = -ln $| 4 - x |$ + 2
E) none of these