Let $f ( x ) = x + 2 + \frac { 3 } { x - 1 }$

Multiple Choice

Let $f ( x ) = x + 2 + \frac { 3 } { x - 1 }$ on $[ 2,7 ]$ Then the set of all c in (2,7) guaranteed by the Mean Value Theorem is

A) $\{ 1 - \sqrt { 6 } \}$
B) $\{ 1 + \sqrt { 6 } \}$
C) $\{ 0 \}$
D) $\{ 1 - \sqrt { 6 } , 1 + \sqrt { 6 } \}$
E) $\{ 1 - \sqrt { 3 } , 0,1 + \sqrt { 3 } \}$