Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 19: 1

Answer

True, f and g are equal.

Work Step by Step

$\int\int\times\frac{x}{y}$ The functions $f(x)$ and $g(u)$ are equivalent because they are the same function with different variables ($f$ gives the result in terms of $x$, while $g$ gives it in terms of $u$). Denoting the variable with a different letter does not change the function. To put it in other words, the two functions give the same output for the same input.
This answer is currently locked

Someone from the community is currently working feverishly to complete this textbook answer. Don’t worry, it shouldn’t be long.