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Answer: fg and
Domain: All real number. All real number or
Explanation:
fg means product of two given function f(x) and g(x)
where,
and
Now, we have to find fg
So, fg=
Substitute f(x) and f(x)
Using distributive property simplify above expression and we get,
We can see it is cubic polynomial. So, domain of cubic polynomial is all real number.
Domain: All real number or
Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:
Hence, the number of integers is given by:
N = 10 x 1 x 1 = 10.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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