BuyFind

Single Variable Calculus: Concepts...

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

Single Variable Calculus: Concepts...

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

Solutions

Chapter 1, Problem 7RQ
To determine

Whether the statement, if f is one-to-one, then f1(x)=1f(x) is true or false.

Expert Solution

Answer to Problem 7RQ

Solution:

The statement is false.

Explanation of Solution

Consider the identity function such as f(x)=x.

Notice that, f(x) is one-to-one.

The inverse function of f(x) is also x. That is, f1(x)=x.

But the value of 1f(x)=1x.

Therefore, f1(x)1f(x).

Thus, the given statement is false.

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