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Akimi4 [234]
3 years ago
12

Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantit

y.
(−∞, 2) (2, ∞)
(−∞, −2) (−2, ∞)
(−∞, 1) (1, ∞)
(−∞, −1) (−1, ∞)
Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

Answer:

(−∞, 2)∪(2, ∞)

Step-by-step explanation:

Domain is all the values that "x" can be

since finding all the values which "x" can be is too hard we will find out the values which "x" can't be- this means equating the denominator to "0" so that the function will be undetermined:

f(x)=\frac{x+1}{x-2}

since we need the denominator to be "0" we must use the opposite of (-2) which is "2" so we will substitute "2" in the place of "x"f(2)=\frac{2+1}{2-2}- the function is now "undetermined" since nothing can be divided by 0 we need to write our answer in proper  domain/range format

-Hope this helps!

AfilCa [17]3 years ago
7 0

Answer:

Option 1.

Step-by-step explanation:

If a rational function is defined as R(x)=\frac{p(x)}{q(x)}, then the domain of the rational function is the intersection of domains of p(x) and q(x) except those values for which q(x)=0.

The given rational function is

f(x)=\dfrac{x+1}{x-2}

We need find the domain of the given function.

Here, the numerator and denominator both functions are polynomial and domain of a polynomial function is all real number.

So, domain of the given function is all real number except those values of x for which x-2=0.

x-2=0

x=2

Domain of f(x) = All real numbers except 2.

Domain of f(x) = (−∞, 2)∪(2, ∞)

Therefore, the correct option is 1.

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1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

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How to solve in long division 82.14 divided by 6.
omeli [17]

Answer: 13.69

Step-by-step explanation:

82.14/6=

Multiply 82.14 by 100 to make it a whole number; since you're modifying the number, you must also multiply 6 by 100 in order to keep it balanced.

82.14*100/6*100

8214/600

---------------------------------------------------------------------

Let's begin.

8214/600=13.69

600

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7 0
3 years ago
According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di
Elena L [17]

Answer:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

X\sim N(\mu = 34.5, \sigma=1.3)

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

Y\sim N(\mu = 33.9, \sigma=1.2)

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

z = \frac{X -\mu}{\sigma}

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

z= \frac{33.2-34.5}{1.3}= -1

And for the case of Sue we got:

z = \frac{32.7-33.9}{1.2}= -1

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0
3 years ago
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