The Function That Models the Consumption of a Certain Medication $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 115.21 } - 224.10$

Multiple Choice

The function that models the consumption of a certain medication over the years 2000-2010 is f(x) =115.21x+224.10 , where x is the number of years after 2000 and y is measured in grams per 100,000 people. Find the inverse of this function.

A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 115.21 } - 224.10$
B) $f ^ { - 1 } ( x ) = \frac { 1 } { 115.21 x + 224.10 }$
C) $f ^ { - 1 } ( x ) = 115.21 ( x - 224.10 )$
D) $f ^ { - 1 } ( x ) = \frac { x - 224.10 } { 115.21 }$