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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.7, Problem 81E

(a)

To determine

The function f that shows the investigator’s fee in terms of x.

Expert Solution

The function f for the investigator’s fee is

**Given**:

The investigator needs

**Calculation**:

Let the number of hour the investigator work be x,

The function to represent the retainer fee is

For the x number of the hours,

Thus, the function for the x hours of work is

(b)

To determine

The inverse of the function

Expert Solution

The inverse of the function

**Given:**

The function for the service of investigator for x number of hours is

**Calculation**:

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

(c)

To determine

The value of

Expert Solution

The value of

**Given:**

The retainer fee for the investigator is

**Calculation:**

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