Left f(x)=x+1 and g(x)=1/x the graph of (f•g) (x) is shown below

Left F(x)=x+1 And G(x)=1/x The Graph Of (fg) (x) Is Shown Below

Answers

Answer 1

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = [tex]\frac{1}{x}[/tex]

Then (fog)(x) = f[g(x)]

Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]


Related Questions

6th grade RATIOS

I don’t know how this is supposed to work do I start as
3:9 or 3:4 or 4:9 or 4:3 or 9:4? How do I start?

Answers

Answer:

i would say b

Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

(0,5), (1,0)

(0-5)/(1-0)= -5/1= -5

y - 0 = -5(x - 1)

y = -5x + 5

A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters? 245.04 cm2 203.19 cm2 376.99 cm2 188.50 cm2

Answers

Answer:

245.04 cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh

Now, we can plug in the values:

2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)

18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04

The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.

We have to determine total surface area of the can in square centimeters.

What is the formula to calculate the total surface area of a cylinder with radius 'r' and height 'h'.

The total surface area of a cylinder with radius 'r' and height 'h' is given by -

A = 2πr(h + r)

According to the question, we have -

diameter of can = 6 cm

Then, the radius will be (r) = 6/2 = 3 cm

Height of can (h) = 10 cm

Substituting the values, we get -

A = 2 x 3.14 x 3 (10 + 3)

A = 2 x 3.14 x 3 x 13

A = 6 x 13 x 3.14

A = 78 x 3.14

A = 244.92 square centimeters.

Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

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the population of a town increases by 4 % every year . In the last year the population of the town was 110000.
Find the present population of the town .
Find the population of the town in the next year​

Answers

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

[tex]P(y)[/tex] represent the total population, and [tex]y[/tex] represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

[tex]P(y)=110000(1.04)^y[/tex]

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

[tex]P(1)=110000(1.04)^1=114400[/tex]

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

[tex]P(2)=110000(1.04)^2=118976[/tex]

The population next year will be 118,976 people.

is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1

Answers

Answer:

No.

Step-by-step explanation:

To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:

[tex]y\geq x^2-4[/tex]

[tex]0\geq (0)^2-4[/tex]

[tex]0\geq -4[/tex]

This is true. 0 is greater than -4.

[tex]y<2x-1[/tex]

[tex]0<2(0)-1[/tex]

[tex]0<-1[/tex]

This is not true. 0 is greater than -1.

Thus, (0,0) is not a solution.

Answer:

(0,0) is not a solution of the given system.

Step-by-step explanation:

0≥-4 true

0>1 false

(0,0) is not a solution of the system.

Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices

Answers

Answer:

0.5686

Step-by-step explanation:

The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.

We are given;

p = 0.11

p^ = 8/88 = 1/11 = 0.0909

n = 88

Formula for the Test Statistic is given by;

z = (p^ - p)/(√(p(1-p)/n))

z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))

z = - 0.572642

z ≈ -0.57

Now, from the z-table to find the P-value at z = -0.57 is; 0.2843

Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.

Thus, P-value = 2 × 0.2843 = 0.5686

Instructions: Find the following information using the given image.
Here we are trying to find the altitude
Hypotenuse: 100
Segment Adjacent to the Leg: 36
X=

Answers

Answer:

Hypotenuse: 100

Segment Adjacent to the leg: 36

x=60

Step-by-step explanation:

I submitted and it was correct

The altitude of the triangle is approximately 76.81 units.

To find the altitude of the triangle, we can use the given information:

Hypotenuse: 100

Segment adjacent to the leg: 36

Let's denote the altitude as 'h' and the other leg of the right triangle as 'x'.

Using the Pythagorean theorem, we can relate the three sides of the triangle:

[tex]h^2 + x^2 = 100^2[/tex]

We also know that the adjacent segment (36) plus the other leg (x) equals the hypotenuse (100):

36 + x = 100

From the second equation, we can solve for x:

x = 100 - 36

x = 64

Now, substitute the value of x into the Pythagorean theorem equation to solve for h:

[tex]h^2 + 64^2 = 100^2\\\\h^2 + 4096 = 10000\\\\h^2 = 10000 - 4096\\\\h^2 = 5904[/tex]

Taking the square root of both sides to solve for h:

h = √5904

h ≈ 76.81

Therefore, the altitude of the triangle is approximately 76.81.

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Instructions: Find the following information using the given image.
X=

Answers

Answer:

I think x=46 but I'm not sure, hope this helps

Is 540171 divisible by 9?

Answers

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

Answer:

Yes, The number is divisible by 9

Step-by-step explanation:

If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.

Hope this helps.

300=x^2+15x what is x?

Answers

Answer:

x = -26.3746, 11.3746

Step-by-step explanation:

Easiest and fastest way to solve for x is to graph x² + 15x - 300 and analyze where the graph crosses the x-axis.

Alternatively, you can use the Quadratic Formula to help solve for x.

PLEASE ANSWER THIS FAST IM BEGGING YOU A student worked the following problem: Solve: 2(10x + 3) − x = 44 Their work is shown below: Step 1: 20x + 6 − x = 44 Step 2: 19x + 6 = 44 Step 3: 19x = 38 Step 4: x = 2 Which of the following statements is correct? There is an error in Step 1. There is an error in Step 2. There is an error in Step 3. No errors were made. The problem was worked correctly.

Answers

Answer:

3. No errors were made. The problem was worked correctly.

Step-by-step explanation:

2(10x + 3) − x = 44

Distribute

20x +6 -x =44

Combine like terms

19x +6 = 44

Subtract 6 from each side

19x =38

Divide by 19

19x/19 =38/19

x =2

The answer is Answer

X=2

Which of the following is an example of the law of syllogism? A. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal may have wings. Therefore, the animal is a penguin. B. If an animal is a penguin, then it can’t fly. An animal is a penguin. Therefore, the animal can’t fly. C. If an animal is a penguin, then it can’t fly. An animal can’t fly. Therefore, the animal is a penguin. D. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal is a penguin. Therefore, the animal may have wings. Please select the best answer from the choices provided

Answers

I believe the answer would be A.

A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for the sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.

Answers

Answer:

4+8=12 so,if its 12 so

Step-by-step explanation:

the some will be 12

12-8=4

12-4=8

A pack of 6 red pens costs £2.76. What is the price per pen?

Answers

Answer:

0.46 each

Step-by-step explanation:

Answer:

£0.46 per pen

Step-by-step explanation:

We need to find the unit rate, or price per pen.

Therefore, we can divide the price by the number of pens.

price / number of pens

It costs £2.76 for 6 pens.

price= £2.76

number of pens = 6 pens

£2.76 / 6 pens

Divide 2.76 by 6

£0.46 / pen

The price per pen is  £ 0.46

Which choice is the most efficient first step to solve this set of equations?

Answers

2x + x + y = y + 30 I think.

Answer:

x + 2x = 30 is the correct answer.

Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Answers

Answer:

x=30

Step-by-step explanation:

2x=y-x

3x=y

2y=180

y=90

x=30.

maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an answer: a: 6/35 b: 13/70 c: 9/35 d: 16/70

Answers

I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.

We know that 1/5 > 1/6 > 1/7

If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .

1/5=.20

1/7≈.14

We can use any number between these two decimals to create a fraction. Let us use .16

.20>.16>.14

Now we can change that number to a fraction.

.16=16/100 which reduced to 4/25

Let's verify:

1/5 > 4/25 > 1/7    find LCM

35/175 > 28/175 > 25/175

One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.

Which expression is equivalent to 2√98 x √2?
1) 14√2
2) 784
3) 4√98
4) 28

Answers

Answer: 28

Step-by-step explanation:  √98 x √2 = √196

√196 = 14

2×14= 28

Answer:

4) 28. I don't know how to explain it...

The prime factorization of K is: K = 3·5·7. List all the composite factors of K.

Answers

Answer:  105, 15, 35, 21

Step-by-step explanation:

3 x 5 x 7 = 105

3 x 5       = 15

     5 x 7 = 35

3    x    7 = 21

The list of all composite factors of K are 15, 21, 35, 105.

What is Prime Number?

A number which can be divisible by only 1 and the number itself, that number is said to be a Prime Number.

What is Composite Number?

A number which can be divisible by factors other than 1 and itself are called Composite Numbers.

What is Prime Factorization?

The process to write a number by the product of its prime numbers is called Prime Factorization.

Here given that the prime factorization of K is given by,

[tex]K=3\times5\times7[/tex]

Hence the number is [tex]K=105[/tex].

Composite factors of a number are given by the product of prime factors of that number in different combinations.

Here prime factors are 3,5,7

The composite factors are given by,

[tex]3\times5=15\\5\times7=35\\3\times7=21\\3\times5\times7=105[/tex]

Thus the composite factors of K are given by 15,21,35,105.

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3. The pie chart illustrates the values of various goods sold by a certain shop.
If the total value of the sales was $24000, find the sales value of:
a) toys
b) grass
seed
Food
4
c) records
d) food.
45 790
Toys/60° Records
Grass
seed




It’s q 3 please

Answers

Answer:

Records: $6000

Grass Seed: $4000

Toys: $3000

Food: $11000

Step-by-step explanation:

We have to use the number of degrees in each category in comparison to the total number of degrees in a circle, 360 degrees. Records is 90 degrees, so 90:360 = 1:4 = 1/4. So 1/4 of the total pie is $6000. For food, we add the other sub-category's costs, and subtract that from $24000.

Answer:

Toys = 3000Grass seed = 4000Records = 6000Foods = 11000

Step-by-step explanation:

1. Toys = [tex] \frac{45}{360} \times 24000 = 3000[/tex]

2. Grass seed[tex] = \frac{60}{360 } \times 24000 = 4000[/tex]

3. Records = [tex] \frac{90}{360} \times 24000 = 6000[/tex]

4. Food = 24000 - ( 3000+4000+6000)

= 24000 - 13000

= 11000

Hope this helps...

Best regards!!

help plz i will make a brainllest quick
plzzz

Answers

Answer:

a

Step-by-step explanation:

Answer:

the answer is a.

Step-by-step explanation:

I did this one.

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

Answers

Answer:

Step-by-step explanation:

The graph choices have not been posted.

There is also a doubt as to what is really wanted, is it

A. f(x) = 100(0.5)^x - 1

or

B. f(x) = 100(0.5)^(x - 1)

I have included a graph for each. Feel free to make a choice between the two, A is red, and B is blue.

Answer:

it's B

Step-by-step explanation:

i literally just did it on ed

You’re rectangular 12 feet long and 8 feet wide. Your friend’s rectangular vegetable garden 50 feet long and 10 feet wide are the garden similar?

Answers

Answer:

No

Step-by-step explanation:

For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.

Answer:

Not similar

Step-by-step explanation:

Well let’s find the areas first.

My garden)

12*8

=96

Freind’s garden)

50*10

=500

The two gardens are not similar whatsoever.

Thus,

the two gardens are not similar.

Hope this helps :)

Find the value. X3-4 when x=-3?? PLEASE HELP !!!! ASAP!!!!

Answers

Answer:

The other person is correct, my bad I got mixed up with the numbers

Answer:

-31

Step-by-step explanation:

Assuming that you mean

[tex]x^3-4\\(-3)^3-4\\-27-4\\-31[/tex]

In a causal-comparative study, what is the difference between independent variables and dependent variables? independent variables cause the effect measured in the dependent variables dependent variables cause the effect measured in the independent variables dependent variables are those that affect each other; independent variables do not independent variables exist before the study; dependent variables do not

Answers

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.

Answers

Answer:

Kristen had (3/4) of a granola bar in total.

Then the three other people have 2.25 granola bars to share amongst themselves.

Step-by-step explanation:

Complete Question

Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.

How many granola bars did Kristen eat.

Solution

4 of them bought 3 granola bars.

Then they divide each granola bar into 4 equal portions.

Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.

Each portion is (1/4) of a granola bar.

Kristen then takes 1 portion from the 3 granola bars.

This means she had 3 × (1/4) granola bars.

Kristen had (3/4) of a granola bar in total.

Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.

Hope this Helps!!!

Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few shirts that cost $13 each. Which inequality represents the number of shirts she can buy? A. x≥7 B. x≤7 C. x≥3 D. x≤3

Answers

Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

13x ≤ 39

13x ≤ 39 ÷13

x ≤ 3

Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event? d + 5 2 d + 35 2 d 2 d minus 35

Answers

Answer:

2d + 35

Step-by-step explanation:

2 per dog (d) plus an additional 35 treats = 2d + 35

Answer:

b

Step-by-step explanation:

Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B

Answers

The answer is the first one 5

how many solutions do y=3x-4 y=-2x+7

Answers

Answer:

One.

Step-by-step explanation:

It is a linear equation. This means that x is raised to the first power, which there can only be one solution.

Answer:

Hi, the correct answer to your question is Y,X would be (29,11)

ONE SOLUTION

Step-by-step explanation:

First you have to... solve for y

Y equals 2x+7

Next you have to use the variable y and put in into an equation.

2x+7 - 3x = -4 (Also) :) - x = -11

Now you have to solve the equation for the variable x

Which will be 11 (x will be 11)

Finally you have to use x to solve for y

2(11)+7 = 29

Now we have 11 and 29 so the answer to your question will be

= (29,11)

Also this means it has one solution

Btw this is a linear equation...

Hope this helps you! :)

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