Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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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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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