Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 21: 79

Answer

See figures and steps below.
1564936128

Work Step by Step

Functions: $ f(x)=-\sqrt x $ and $ g(x)=\sqrt {1-x}$ (a) $ f+g=\sqrt {1-x}-\sqrt x $ (b) $ f\cdot g=-\sqrt {x(1-x)}$ (c) $ f-g=-\sqrt x-\sqrt {1-x}$ and $ g-f=\sqrt {1-x}+\sqrt {x}$ (d) $\frac{f}{g}=-\sqrt {\frac{x}{1-x}}$ and $\frac{g}{f}=-\sqrt {\frac{1-x}{x}}$ The above functions are shown in the figures.
Small 1564936128
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.