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8. Many hand-held calculators have the functions log.x, x², √x, and 1/x. (a) Specify the domains of these functions. (b) Which of these functions are inverses of each other? (c) Which pairs of these functions commute with respect to composition?

8. Many hand-held calculators have the functions log.x, x², √x, and 1/x. (a) Specify the domains of these functions. (b) Which of these functions are inverses of each other? (c) Which pairs of these functions commute with respect to composition?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. Many hand-held calculators have the functions log x, x², √x, and 1/x. (a) Specify the domains of these functions. (b) Which of these functions are inverses of each other? (c) Which pairs of these functions commute with respect to composition? (d) Some hand-held calculators also have the functions sin .x, cos .x, and tan.x. If you know a little trigonom- etry, repeat parts (a), (b), and (c) for these functions.
Transcribed Image Text:8. Many hand-held calculators have the functions log x, x², √x, and 1/x. (a) Specify the domains of these functions. (b) Which of these functions are inverses of each other? (c) Which pairs of these functions commute with respect to composition? (d) Some hand-held calculators also have the functions sin .x, cos .x, and tan.x. If you know a little trigonom- etry, repeat parts (a), (b), and (c) for these functions.
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Given functions are

logx,  x2,  x     and   1x.

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