# A function f that gives the U.S. dollar value f ( x ) of x Canadian dollars. ### 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 86E

a.

To determine

## To find: A function f that gives the U.S. dollar value f(x) of x Canadian dollars.

Expert Solution

f(x)=1.0573x

### Explanation of Solution

Given information: One Canadian dollar was worth 1.0573 U.S. dollar.

Concept used: One Canadian dollar was worth 1.0573 U.S. dollar. Therefore, to get the worth of Canadian dollar in U.S. dollar we have to multiply Canadian dollar with 1.0573 .

Calculation:

x is the value of Canadian dollar. f(x) is the worth of Canadian dollar in U.S. dollar.

Therefore, f(x)=1.0573x

b.

To determine

### To find: f−1 and what it means.

Expert Solution

f1(y)=y1.0573

f1(y)Represent the worth of y U.S. dollar in Canadian dollar.

### Explanation of Solution

Given information: f(x)=1.0573x

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)=1.0573xy=1.0573xx=y1.0573f1(y)=y1.0573

f1(y)Represent the worth of y U.S. dollar in Canadian dollar.

c.

To determine

### Explanation of Solution

Given information:

The worth of money in U.S. currency is $12250 . Formula used: f1(y)=y1.0573 f1(y)Represent the worth of y U.S. dollar in Canadian dollar. Calculation: f1(12250)=122501.0573=11586.1156 Therefore, the of$12250 U.S. dollar in Canadian dollar is 11586.1156 .

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