Find f^-1(x) where
f(x) = 3x+2/x

Answers

Answer 1

Given:

Consider the function is

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

To find:

The inverse of the function, .i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{3x+2}{x}[/tex]

Putting f(x)=y, we get

[tex]x=\dfrac{3y+2}{y}[/tex]

Isolate the variable y.

[tex]xy=3y+2[/tex]

[tex]xy-3y=2[/tex]

[tex]y(x-3)=2[/tex]

[tex]y=\dfrac{2}{x-3}[/tex]

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex]

Therefore, the inverse function is [tex]f^{-1}(x)=\dfrac{2}{x-3}[/tex].


Related Questions

X/6 = 3 x=____ help

Answers

18, because u do 3x6

Answer:

x =18

Step-by-step explanation:

[tex]\frac{x}{6} = 3[/tex]

x = 3 x 6

x = 18

Verify:

[tex]\frac{18}{6} =3[/tex]  (Correct)

Need help pleaseeeee!!

Answers

Answer: z 1/2

Step-by-step

:) 100%

x(3x - 5) please and 5x(x - 3y) urgent !

Answers

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

6. Find the measure of each
marked angle.

Answers

ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60

Please mark as brainliest

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

Learn more about alternate exterior angles here:

https://brainly.com/question/23134598

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The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11

Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is

Answers

Answer:

3

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE

Answers

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168Cm

Lainey bought a set of 20 markers for $6
What is the cost of 111 marker?

Answers

Answer:

370

Step-by-step explanation:

First find the unit rate aka price per pencil: 20 divided by 6 equals 3.333

Then find amount for all pencils

3.333 by 111 is 369.963

Then we round up to have a realistic amount of pencils to 370

whoever guesses my birth month first gets the brainliest​

Answers

i’m guessing january

How do you do 20/4 divided by 8/9 and put it in simplest form?

Answers

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

The lunch special at Manal's Restaurant is a sandwich, a drink and a dessert. There are 4 sandwiches, 2 drinks, and I dessert to choose from. How many lunch
specials are possible?
5 ?

Answers

Answer:

There is 8 possible combinations.

Step-by-step explanation:

4 sandwiches: turkey, ham, cheese, chicken

2 drinks: milk, water

1 desert: cake

possible combinations:

1: turkey, milk, cake

2:turkey, water, cake

3: ham, milk, cake

4: ham, water cake

5: cheese, milk, cake

6: cheese, water, cake

7: chicken, milk, cake

8: chicken, water, cake

Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?

Answers

Answer:

18

Step-by-step explanation:

hi could you please tell me the answer to this?

Answers

Answer:

5

Step-by-step explanation:

5

410 is what percent of 65?

Answers

Answer:

15.85%

Step-by-step explanation:

you know you have 65 and you have 410 so you just multiply and try and figure out the ratio and how much percentage is out of it.

Work out the perimeter of a regular octagon with side length 2.6mm

Answers

Answer:

20.8mm

Step-by-step explanation:

We know that an octagon has 8 sides, and since this is a regular octagon we can safely say that all sides are equal.

This means all sides are 2.6mm.

So if we run the calculation:

2.6mm × 8 = 20.8mm (Side Length × Number of Sides = Perimeter)

We have our final answer!

please helpppp and explain

Answers

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls

Answers

Answer: 11

Step-by-step explanation:

i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.

The circumference of the circular window to the nearest whole number is 11 feet.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

To find the circumference of the circular window, we need to use the formula:

C = πd

where C is the circumference, π is the constant pi, and d is the diameter of the circle.

Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.

Plugging in the value of the diameter in the formula, we get:

C = πd

C = 3.14 x 3.5

C = 10.99

Rounding the result to the nearest whole number, we get:

C ≈ 11 feet

Therefore,

The circumference of the circular window to the nearest whole number is 11 feet.

Learn more about circle here:

https://brainly.com/question/11833983

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Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy

Answers

Answer: Mr Smith bought 7 pepperoni pizza

Step-by-step explanation:

Step 1

cost of cheese pizza  =$11

pepperoni pizza cost =$12.50

let number cheese pizza be represented as c

and number of pepperoni pizza be represented as p

such that the total number of pizza  bought which equals 13 can be represented as

c+ p= 13

and total cost of both pizza  can be expressed as

11c+ 12.50p =153.50

Step 2 Solving

 c+ p= 13

11c+ 12.50p =153.50

By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2

11c+ 12.50p =153.50

11c+ 11p=143.

1.5p =10.5

p= 10.5/ 1.5 =7

c+ p= 13

c= 13-p =13-7=6

Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza

PLZ PLZ PLZ help 50 points

Answers

Answer:

i think im to late sorry

Step-by-step explanation:

the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)

Answers

Answer:

Height x=2

Step-by-step explanation:

area of top & bottom:

(5)(4)(2)=40

area of 2 sides:

(x)(5)(2)=?

area of the other two sides:

(x)(4)(2)=?

total area=76

76=40+10x+8x

simplify:

36=18x

x=2

whats 3472532*67 then divided by 3? Thank you! -Ibuki

Answers

Answer:

77,553,214.66666667

Step-by-step explanation:

calculater

Answer:

77553214 2/3

Step-by-step explanation:

i squeezed out the baby yet i have no idea who the father is

Math Help plz. I cant figure it out.

Answers

Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3

Step-by-step explanation:

Write an equation in slope intercept form given m=2 and b=1

Answers

The equation in slope intercept form is y = 2x + 1

Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)

Answers

Answer:

y = 4x-13

Step-by-step explanation:

The standard equation of the line is y = mx+c

m is the slope

c is the intercept

Given the equation y = 4x+2

The slope m = 4

Substitute m = 4  and the given point into the formula y = mx+c

1 = 4(4)+c

1 = 14+c

c = -13

Get the equation

Recall that y = mx+c

y = 4x + (-13)

y = 4x-13

Hence the required equation is y = 4x-13

Calculate the vapor pressure (in torr) of a solution containing 0.2 moles of solute dissolved in 10 moles of water at 25°C. Vapor pressure of pure water at 25°C is 23.8 torr. Enter text here Enter 2021 Acellus Corporation. All Rights Reserved. C​

Answers

Answer:

the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C

Step-by-step explanation:

your answer is:  22.9 torr at 25°C

Explanation:

When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation

Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.

Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:

Replacing in Raoult's law:

Vapor pressure of the solution is 22.9 torr at 25°C

hope this helps!

Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at

Answers

Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.

Answers

Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

Find the height of a cuboid whose volume is 540 cu.cm and base area is 90 sq.cm .

Answers

Answer:

540/90=6

and is 6 cm

height is 6 cm

Amelia's account balance is $16. If she uses her debit card to buy a $32
shirt from the mall, what will the balance of her account be?

Answers

Answer:

-$16

Step-by-step explanation:

16-32=-16

each side of a triangle is nine inches long. find the perimeter

Answers

The triangle in which the side are nine inches long has a perimeter of 27 inches.

Perimeter of a triangle

The perimeter of a triangle is the sum of the length of the whole side.

The triangle have three sides and the perimeter is the sum of the whole sides.

According to the question, the triangle has the whole sides as 9 inches.

This means the triangle is an equilateral triangle.

Therefore,

length of side = 9 inches

perimeter = 9 + 9 + 9

perimeter = 27 inches

learn more on triangle here:https://brainly.com/question/19976393

Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.

Answers

59 cm yun ang sagot sa tanong mo

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

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