The function f that shows the investigator’s fee in terms of x.
The function f for the investigator’s fee is
The investigator needs retainer fee and for his services.
Let the number of hour the investigator work be x,
The function to represent the retainer fee is for investigator and in terms of x is,
For the x number of the hours,
Thus, the function for the x hours of work is .
The inverse of the function .
The inverse of the function is .
The function for the service of investigator for x number of hours is .
Let the function be in terms of x and y,
Solve for the value of x,
Further simplify the equation,
Interchange the value of x with y,
Thus, the value of inverse of the function is . The inverse function shows the number of hours the investigator works.
The value of .
The value of is 9.
The retainer fee for the investigator is and the working hour of investigator is 1220.
The formula to calculate the working hours is,
Where x is working hours.
Substitute 1220 for x in equation (1),
Thus the number of toppings on the pizza is 9. This shows that the investigator charges for 1220 number of hours.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!