Find a Formula for the Inverse of the Function Described $$C ( x ) = \frac { 200 + 6 x } { x } \text {, }$$

Multiple Choice

Find a formula for the inverse of the function described below.
-An organization determines that the cost per person of chartering a bus is given by the formula
$$C ( x ) = \frac { 200 + 6 x } { x } \text {, }$$
where $x$ is the number of people in the group and $C ( x )$ is in dollars.

A) $\mathrm { C } ^ { - 1 } ( \mathrm { x } ) = \frac { 200 + \mathrm { x } } { 6 }$
B) $C ^ { - 1 } ( x ) = \frac { 6 } { x - 200 }$
C) $C ^ { - 1 } ( x ) = \frac { 200 } { x + 6 }$
D) $C ^ { - 1 } ( x ) = \frac { 200 } { x - 6 }$