College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding - Page 260: 93

Answer

See below.

Work Step by Step

The domain of $g(x)$ is $[0,∞)$, while the range of $g(x-k)$ can be obtained by adding $k$ to the domain which will result in $[k,∞)$. This is because $g(x-k)$ has the graph of $g(x)$ by shifting it $k$ units to the right.
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