Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-To remodel a bathroom, a contractor charges $\$ 25$ per hour plus material costs, which amount to $\$ 3,775$ . Therefore, the total cost to remodel the bathroom is given by $f ( x ) = 25 x + 3,775$ where $x$ is the number of hours the contractor works. Find a formula for $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ . What does $\mathrm { f } ^ { - 1 } ( \mathrm { x } )$ compute?

A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 151$ ; This computes the total cost if the contractor works $x$ hours.
B) $f ^ { - 1 } ( x ) = \frac { x } { 25 } - 151$ ; This computes the number of hours worked if the total cost is $x$ dollars.
C) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 3,775$ ; This computes the total cost if the contractor works $x$ hours.
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { \mathrm { x } } { 25 } - 3,775$ ; This computes the number of hours worked if the total cost is $x$ dollars.