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tekilochka [14]
2 years ago
15

Find the domain of the rational function.

Mathematics
1 answer:
BigorU [14]2 years ago
5 0

The domain of the given rational function is:

D = {x ∈ R| x ≠ -9}

<h3>How to find the domain of a rational function?</h3>

When given a rational function, we first need to simplify it to its simplest form, (the given rational function is already on the simplest form).

At that point, we identify the domain of the rational function as the set of all real numbers minus the numbers that make the denominator of the rational function to be zero.

In this case, the denominator is:

x + 9

It is zero when:

x + 9 = 0

x = -9

So, the domain of the rational function is the set of all real numbers except for x = -9, it is:

D = {x ∈ R| x ≠ -9}

If you want to learn more about rational functions:

brainly.com/question/1851758

#SPJ1

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Answer:

X<-19

Step-by-step explanation:

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8 0
3 years ago
What is the dimension of a rectangle if the perimeter is 198
AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or,                                   198 = 2 ×  (Length + width)

Or,                                   \frac{198}{2} = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

      99 Width - width² = maximum                              Let width = W

Now differentiate both side with respect to W

D(99W - W²)\frac{D(99w - w^2)}{Dw} = 0         as, constant diff is 0

So, 99 - 2w = 0

Or, w = \frac{99}{2}

Or, w = 49.5 unit    and L = 99- 4905 = 49.5 unit      Answer

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3 years ago
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2 years ago
I have 4 factors. Three of my factors are 1, 2, and 6. What is my fourth factor?
SIZIF [17.4K]

The 4th factor would be 3. You would find this out through a factor tree. If you don't know the original number when you start you look at your numbers. A factor of 1 usually goes with the highest number, assuming that the number 6 is the highest factor, that would be the original number. As 2 is the other known factor than we know that 3 has to be the last factor, because 2 x 3 = 6. It cannot be the number 12 because then there would be 6 factors not the needed 4.

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