Find the Value of C Guaranteed by the Intermediate Value $$f ( x ) = \frac { x ^ { 2 } - 5 x } { x - 3 } , \left[ \frac { 9 } { 2 } , 18 \right] , f ( c ) = 6$$

Multiple Choice

Find the value of c guaranteed by the Intermediate Value Theorem. $$f ( x ) = \frac { x ^ { 2 } - 5 x } { x - 3 } , \left[ \frac { 9 } { 2 } , 18 \right] , f ( c ) = 6$$

A) 11
B) 2
C) 1
D) 9
E) 10