(a) One meter is about 6.214 104 miles. Find a formulay = f(x) that expresses a length y

Chapter 0, Problem 23

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QUESTION:

(a) One meter is about \(6.214 \times 10^{-4}\) miles. Find a formula \(y=f(x)\) that expresses a length \(y\) in meters as a function of the same length \(x\) in miles.


(b) Find a formula for the inverse of \(f\).


(c) Describe what the formula \(x=f^{-1}(y)\) tells you in practical terms.

Equation Transcription:

Text Transcription:

6.214 times 10^4

y=f(x)

y

x

f

x=f^-1(y)

Questions & Answers

QUESTION:

(a) One meter is about \(6.214 \times 10^{-4}\) miles. Find a formula \(y=f(x)\) that expresses a length \(y\) in meters as a function of the same length \(x\) in miles.


(b) Find a formula for the inverse of \(f\).


(c) Describe what the formula \(x=f^{-1}(y)\) tells you in practical terms.

Equation Transcription:

Text Transcription:

6.214 times 10^4

y=f(x)

y

x

f

x=f^-1(y)

ANSWER:

Step 1 of 3

(a) We can formulate the equation as follows

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