## Related questions with answers

Question

The relative value of currencies fluctuates every day. When this problem was written, one Canadian dollar was worth 0.9766 U.S. dollars. Find $f^{-1}.$ What does $f^{-1}$ represent?

Solution

VerifiedStep 1

1 of 2From part (a), $f(x)=0.9766x$. Finding the inverse gives:

$\begin{align*} y&=0.9766x&&\text{Replace $f(x)$ with $y$.}\\ \frac{y}{0.9766}&=x&&\text{Divide both sides by 0.9766.}\\ 1.02396y&\approx x&&\text{Simplify.}\\ 1.02396x&=y&&\text{Switch $x$ and $y$.} \end{align*}$

The inverse is then $f^{-1}(x)=1.02396x$. Since $f(x)$ was the value in US dollars of $x$ Canadian dollars, then $f^{-1}(x)$ is the value in Canadian dollars of $x$ US dollars.

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Precalculus: Mathematics for Calculus

7th Edition•ISBN: 9781305071759 (4 more)Lothar Redlin, Stewart, Watson9,756 solutions

## More related questions

1/4

1/7