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


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.
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