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ss7ja [257]
3 years ago
14

Anyone who understand this for 16 point s plz

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

This is pretty open-ended.  How about:

\sqrt 2 and \sqrt 3 are similar because they're both irrational, meaning neither is the ratio of two integers.

\sqrt 2 and \sqrt 3 are different because \sqrt{2} < 1.5} and \sqrt{3} > 1.5.


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\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

In other words, the x in f(x) = 3\, \tan(23\, x) could be any real number as long as x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) for all integer k (including negative integers.)

Step-by-step explanation:

The tangent function y = \tan(x) has a real value for real inputs x as long as the input x \ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

Hence, the domain of the original tangent function is \mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

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