Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.3 - Functions - Exercises - Page 152: 1

Answer

a) f is not a function from R to R, because for x = 0, we would have $f(0) = 1/0 $ which is undefined. b) f is not a function from R to R, because for every x <0, we would have a negative number under the square roots. For example $f(-1) = \sqrt(-1)$ which is not a real number (Domain is R) but a complex(imaginary number). c) f is not a function from R to R, because there are 2 values assigned to every x. So f is not a function.

Work Step by Step

The explanation are included in the answers above already.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.