Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.6 - Combinations of Functions: Composite Functions - 2.6 Exercises - Page 219: 28

Answer

On $[0,2]$: $g(x)$ On $(6,\infty)$: $g(x)$

Work Step by Step

We are given the functions: $f(x)=x^2-\dfrac{1}{2}$ $g(x)=-3x^2-1$ Determine the function $f+g$: $(f+g)(x)=f(x)+g(x)=x^2-\dfrac{1}{2}-3x^2-1=-2x^2-\dfrac{3}{2}$ Graph the functions $f$, $g$ and $f+g$: On the interval $[0,2]$, $g(x)$ contributes the most to the magnitude of $f+g$. On the interval $(6,\infty)$, $g(x)$ contributes the most to the magnitude of $f+g$.
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.