# f − 1 and define what f − 1 represents.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.7, Problem 89E
To determine

## To find: f−1 and define what f−1 represents.

Expert Solution

f1(y)=y72

The function f1(y) represent the number of topping available in the price y .

### Explanation of Solution

Given information:

Marcello’s Pizza charges a base price of $7 for a large pizza plus$2 for each topping. A order of a large pizza with x toppings, the price of the pizza is given by f(x)=7+2x

Concept used: If f be a one-to-one function with domain A and range B. Then its inverse function f1 has domain B and range A and is defined by

f1(y)=x      f(x)=y

Calculation:

f(x)=7+2xy=7+2x2x=y7x=y72f1(y)=y72

The function f1(y) represent the number of topping available in the price y .

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