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 19: 12

Answer

(a) $f(j(x))$ (b) $h(g(x))$ or $g(h(x))$ (c) $h(h(x))$ (d) $f(f(x))$ (e) $j(h(f(x)))$ (f) $g(f(h(x)))$

Work Step by Step

(a) $y=2x-3=f(j(x))$ (b) $y=x^{3/2}=h(g(x))$ or $g(h(x))$ (c) $y=x^9=h(h(x))$ (d) $y=x-6=f(f(x))$ (e) $y=2\sqrt {x-3}=j(h(f(x)))$ (f) $y=\sqrt {x^3-3}=g(f(h(x)))$
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.