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Bezzdna [24]
3 years ago
10

Find the domain of the function:

Mathematics
2 answers:
makkiz [27]3 years ago
8 0

Answer: OPTION C.

Step-by-step explanation:

1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.

2. You can make the denominator equal to zero and solve it, as you can see below:

x^{3}-2x^{2}+x=0\\x(x^{2}-2x+1)=0\\x(x-1)(x-1)=0\\x=0\\x=1

3. Therefore, the domain is:

(-∞,0)U(0,1)U(1,∞)

ANEK [815]3 years ago
3 0

Answer:

Option C is correct.

Step-by-step explanation:

We have given the function.

f(x) = (x-1)²/(x³-2x²+x)

We have to find the domain of given function.

domain of function is all possible values of independent variable for which the function is difined.

So for this the denominator must not be zero.

x³-2x²+x ≠ 0

x(x²-2x+1)≠ 0

x(x-1)(x-1) ≠ 0

x ≠0 and x≠1

So, the domain cannot consist of x=0 and x=1.  

Therefore, the domain is :

(-∞ , 0) ∪ (0,1 ) ∪ (1,+∞).

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3 years ago
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5 0
2 years ago
Which statement best explains the value of 16 − (−3)?
amm1812

Answer:

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negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

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