Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x

Any help is appreciated :)

Find (fog)(x) When F(x)=2/x+3 And G(x)=1/2xAny Help Is Appreciated :)

Answers

Answer 1

Answer:

1st option

Step-by-step explanation:

To find (f ○ g)(x) substitute g(x) into f(x) , that is

f([tex]\frac{1}{2x}[/tex] )

= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]

= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]

= [tex]\frac{4x}{1+6x}[/tex]


Related Questions

How is the expression 3 x 1/10 written as a decimal

A)3

B).3

C).03

D).003

Answers

Answer:

B)

Step-by-step explanation:

3.0 / .1 = 0.3

Answer:

3×1/10=0.3 in decimals.

Step-by-step explanation:

3×1÷10

3÷10

0.3

WILL MARK AS BRAINLIEST

Answers

Answer:

... uhh I'm only in middle school but uhh I think 25??

Deshaun deposited 200 dollars into his savings account . Write a signed number to represent this change in his account.

Answers

Answer:

$200

Step-by-step explanation:

thx hope this helped u

Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States

Answers

Answer:

320M

Step-by-step explanation:

It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:

32,000,000 x 10 = 320,000,000

320,000,000 people live in the US.

~

A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost of the pen? ​

Answers

Answer: D

Step-by-step explanation:

$7 = cost of book

(p) = cost of pen as a variable

add them together, for total price: $9

7+p=9

Which of the following is a reciprocal of 5

Answers

Hi :)

The reciprocal of 5 is 1/5.

Every number has a reciprocal except 0.

For example

5/1 is just 5 but the reciprocal of that would be 1/5.

Essentially flipping the fraction.

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.

Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].

Please Help Me I Will Give Brainliest

Answers

Answer:

Top left option

Step-by-step explanation:

There are a total of 10 boxes so

x + y = 10

The question states that x = 20 pound boxes and y = 30 pound boxes

20x + 30y = 280

What element in the domain has image 7 in the function f(x) = x²– 2?

a. 3 b) 9 c) -1 d) 4

Answers

Answer:

[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]

Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2

A. 3 is the right answer.

After 5 years, Tenzin will be 24 years old and his father will become twice as old as himself. 3 years before, his mother’s age was 2 times his age. Age difference between his father and mother is?​

Answers

Step-by-step explanation:

tenzin is 19 now

3 years ago he was 16 and his mother was 32

his father will be 48 in 5 years

the age difference between his mother and father is 9

There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?

Answers

Answer:

[tex]\frac{10}{49}[/tex]

Step-by-step explanation:

There are 23 red candies, 16 blue candies and 10 yellow candies.

Which means altogether we have..

23 + 16 + 10= 49

49 candies.

To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.

So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]

10 YELLOW CANDIES

49 CANDIES

Write in decimal form 0x100+ 6x10+ 5x1+ 2x(1/10+ 1x(1/00+ 4x(1/1000

Answers

Answer:

65.214

Step-by-step explanation:

0*100+6*10+5*1+2*(1/10+1*(1/100+4*(1/1000

0+60+5+2(1/10+1(1/100+4(1/1000

65+(0.2+0.01+0.004

65+0.214

65.214

Help me out? most brainliest!

Answers

Answer:

(a) z(105)= (105-95)/10

= 1

z(85)= (85-95)/10

= -1

P(85< x < 105) = P(-1< z < 1) = 0.6825

Quantity of people of 1600 that have IQ between 85 and 115 = 0.6825*1600= 1092

(b) z(105) = (115-95)/10 = 2

z(85) = (75-95)/10 = -2

P(-2< z < 2) = 0.6827

quantity of people of 1600 that have IQ between 75 and 115 = 0.6825x1600=1092

(c) Z(>125)=( 125-100)/10=3

Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61

Answers

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29

if radius of circle is decreased by 50% its area is reduced by

Answers

Answer:

0.25 or 25%

Step-by-step explanation:

because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%

Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
How many yards did she get?
A. 9.25 yards
B. 10.05 yards
C. 8.45 yards
D. 8.25 yards

Answers

Answer:

D

Step-by-step explanation:

All we need to do is divide the values we are given.

12.21 / 1.48 = 8.25

Best of Luck!

the answer is d; 8.25 yards

A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.

Answers

The answer is 7.

To prove whether this is correct or not, just test it with the given conditions,

7x4+4=46.

Does 2x23=46?

Yes.

So, therefore,

The answer is 7.

Answer:

x=13

Step-by-step explanation:

6x+4=82

6x=78

= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?​

Answers

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

convert 40meters to centimeters

Answers

Answer:

4000 centimeters

Step-by-step explanation:

40 cm x 100 = 4000 cm

State the gradient of the line perpendicular to the line y=3x-2

Answers

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)


A washer and a dryer cost $930 combined. The washer costs $ 80 more than the dryer. What is the cost of the dryer?

Answers

Answer:

$505

Step-by-step explanation:

930 - 80 = 850

850 / 2 = 425 (price of the washer)

425 + 80 = 505 (price of the dryer)

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 930

x = y + 80

using the second equation as substitute in the first equation we get

y + 80 + y = 930

2y = 850

y = $425

FYI

x = y + 80 = 425 + 80 = $505

calculus graph please help

Answers

Answer:

See Below.

Step-by-step explanation:

We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).

Part A)

f is increasing whenever f' is positive and decreasing whenever f' is negative.

Hence, f is increasing for the interval:

[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]

And f is decreasing for the interval:

[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]

Part B)

f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.

f' turns from positive to negative at x = -2 and x = 1.

And f' turns from negative to positive at x = -1 and x = 3.

Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.

Part C)

f is concave up whenever f'' is positive and concave down whenever f'' is negative.

In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.

Hence, f is concave up for the interval (rounded to the nearest tenths):

[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]

And concave down for the interval:

[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]

Part D)

Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.

In other words, f has an inflection point wherever f' has an extremum point.

f' has extrema at (approximately) x = -1.5, 0, and 2.2.

Hence, f has inflection points at x = -1.5, 0, and 2.2.

One number is 7 more than 4 times another number if the sum of the numbers is 22 find the numbers

Answers

Answer:

3 and 19

Step-by-step explanation:

The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.

Small number= x= 3

Big number= 4x+7= 12 + 7 = 19

Are the following equivalent -3x=-x-2x

Answers

Answer:

Yes.

Step-by-step explanation:

By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.

Answer:

Yes They are Equivalent.

Step-by-step explanation:

R.H.S (Right Hand Side)

- x - 2x

=> 3x = L.H.S(Left Hand Side)

Find the length of the arc.
8 m
315°

Answers

[tex]s = 44.0\:\text{m}[/tex]

Step-by-step explanation:

First convert the angle into radian measure:

[tex]315°×\left(\dfrac{\pi}{180°}\right) = 5.50\:\text{rad}[/tex]

The arc length s is given by

[tex]s = r\theta = (8\:\text{m})(5.50\:\text{rad}) = 44.0\:\text{m}[/tex]


The radius of a circle is 4.0 millimeters. Find the diameter,
??

Answers

the answer is 8. that’s it plain and simply. brainly makes you put 20 characters so these are just to fill that void. d=8 though

1 tenth + 2 tenths = blank tenths =

Answers

Answer:

3 tenths +4 tenths: 7 tenths

Step-by-step explanation:

2+1 :3

so

3+4:7

Find the value of x in each of the following
(please do it step by step and don't spam)​

Answers

Answer:

x=120 and x=110 because adjacent angle

Answer:

D= 60 degrees(corresponding angles) Q = 70 degrees (interior angles)

Step-by-step explanation:

For the first one you can find G right away cause they are corresponding angles you know this cause they form an f shape and then after you find G you can find D cause they are corresponding

For the second one you can find V right away cause V and S are corresponding after you find V which is 110 you do interior angles ( Q and V are in a U shape and angles in that shape add upto 180 and are called interior angles) So Since V is 110 , you have to minus 110 degrees from 180 degrees and so Q is equals to 70 degrees

43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).

Answers

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...

  y = constant

In order for that line to go through a point with y-coordinate 7, the line must be ...

  y = 7

In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________

Answers

Find the percentage of the people who like Chocolate = chocolate/ total x 100

Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)

A full circle is 360 degrees.

The central angle = percentage of chocolate x 360:

0.416666 x 360 = 150

The central angle for chocolate is 150 degrees

14. Solve y2 + 4y - 32 = 0 using the zero product property.
O A. y = 8,4
O B. y = -8,4
O c. y = -8,6
O D. y = 3

Answers

Answer: B. y = -8, 4

Step-by-step explanation:

Given expression

y² + 4y - 32 = 0

Cross factorize the expression

y          8

y          -4

Factorize the expression

(y + 8) (y - 4) = 0

Finalize the factor of the expression by the zero product property

[tex]\boxed{y=-8,4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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