# The value of f − 1 ( 17 ) if f is one-to-one and f ( 6 ) = 17 . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.6, Problem 15E

(a)

To determine

## To find: The value of f−1(17) if f is one-to-one and f(6)=17 .

Expert Solution

The value of f1(17)=6 .

### Explanation of Solution

It is given that the function is one-to-one and f(6)=17 .

According to the definition of an inverse function, f1(y)=x if and only if f(x)=y where f is one-to-one.

The value of f1(17)=6 since f(6)=17 .

Thus, it can be concluded that the value of f1(17)=6 .

(b)

To determine

### To find: The value of f(2) if f is one-to-one and f−1(3)=2 .

Expert Solution

The value of f(2)=3 .

### Explanation of Solution

It is given that the function is one-to-one and f1(3)=2 .

According to the definition of an inverse function, f1(y)=x if and only if f(x)=y where f is one-to-one.

The value of f(2)=3 since f1(3)=2 .

Thus, it can be concluded that the value of f(2)=3 .

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