What is the inverse function of f(x) = x/x—2

Answers

Answer 1

Answer:

[tex]y = \frac{2x}{x - 1} [/tex]

Step-by-step explanation:

find the inverse of the function

 

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables

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

becomes

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

Now, solve the equation 

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

 for y.

[tex]y = \frac{2x}{x - 1} [/tex]


Related Questions

I NEED HELP ASAP FIRST PERSON CORRECT GETS BRAINLIST

Answers

Answer:

the first one has no solution because the lines never intersect.

the second one has one solution: (-3, 3)

the third one has an infinite solution because there lines are on top of each other the entire time.

Step-by-step explanation:

:)

Step-by-step explanation:

(i) No solution

Because they are parallel to each other

(ii) One solution

Because they intersect each other

(x,y) = (-3,3)

(iii) Infinite solution

Because they are in one line

Margaret has some goats. The goats produce an average total of 21.7 litres of milk per day for 280 days. Margaret sells the milk in 12 litre bottles. Work out an estimate for the total number of bottles that Margaret will be able to fill with the milk. You must show clearly how you got your estimate. ​

Answers

The answer is 506.3 bottles because 21.7 liters a day for 280 days is 6,076 liters and then when you divide that into the number of 12 liter bottles you get 506.3

Answer:

506 bottles

Step-by-step explanation:

21.7 * 280 = 6076 litters

6076/12 = 506.33333……. = 506 bottles

(0.33333 is less than 0.55555)

Covert 298.4 to a fraction

Answers

[tex]\\ \sf\longmapsto 298.4[/tex]

[tex]\\ \sf\longmapsto \dfrac{2984}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1492}{5}[/tex]

298.4/1 × 10/10

=2984/10

At chucky bee restaurant, the meal costs $55.25 and desserts cost $15.75 for 5 people. How much money does each person have to pay?

Answers

Answer:

$14.20

Step-by-step explanation:

First we add both the meal ($55.25) and the dessert ($15.75) to calculate the total cost which would be $77.00 Assuming the bill was evenly split among the five people, we would divide the total cost ($77.00) by all 5 people which gives us 14.20 so each person would have to pay $14.20.

hope this helps!

i need help please, this question has been giving me a headache.

Answers

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

Sarah baked 134 desserts in 8 3/4 months. Find Sarah's dessert making rate in desserts per month.

*put the answer in fraction form pls

Answers

Step-by-step explanation:

8 ¾ = 35/4

[tex] \frac{134}{ \frac{35}{4} } = \frac{134 \times 4}{35} = \frac{536}{35} [/tex]

Please answer both questions and Show Work... I will mark you brainliest and give you five starts

Answers

Answer:

Step-by-step explanation:

For each problem you need to make sure that the angles are the same.

So x + 22 = 90

x = 90 -22 = 68 degree

For the second problem

7x + 10 = 8x

10 = 8x -7x

x = 10 degree

Use the discriminant to determine the nature of the solutions.
2x2 - 6x + 7 = 0
A) Two rational Solutions
B) Two irrational Conjugate Solutions
C) One Rational Solutions
D) Two Complex/Imaginary Conjugate Solutions

Answers

B

Step-by-step explanation:

2x2 - 6x + 7 = 0. A) Two rational Solutions B) Two irrational Conjugate Solutions C) One Rational Solutions D) Two Complex/Imaginary ...

Kiara desea contratar el servicio de una línea telefónica con internet para realizar sus clases virtuales. Si el costo de una línea de telefonía móvil con Internet es C = 10 + 1,5t (C, en soles; t, en horas).
- Expresa el costo de la línea telefónica móvil en función del tiempo.
- Determina el dominio y el rango de una función.
- ¿Cuál será el costo luego de 48 horas de consumo de la línea telefónica con Internet?

Doy coronita

Answers

a) Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

a) Nota - Puesto que la ecuación que describe el Coste ya existe en el enunciado, entonces se entiende el verbo "Expresa" como "Describa en sus propias palabras".

Como puede apreciarse el Coste de la línea telefónica móvil aumenta linealmente con el Tiempo de consumo por parte del usuario. En consecuencia, la función de Coste queda definida como sigue:

[tex]C(t) = C_{o} + r\cdot t[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Coste fijo, en soles.[tex]r[/tex] - Tasa de consumo, en soles por hora.

Entonces, tenemos que Kiara ha adquirido una línea de telefonía móvil con internet a un Coste Fijo de 10 soles y un Tasa de Consumo de 1,5 soles por hora consumida.

b) Una característica de las Funciones Lineales es que tanto su Dominio como Rango comprenden al Conjunto de todos los Números Reales, al ser de Pendiente constante esta Función.

Por tanto, el Dominio y el Rango de la Función en cuestión es el Conjunto de todos los Números Reales.

c) Si sabemos que [tex]C_{o} = 10[/tex], [tex]r = 1,5[/tex] y [tex]t = 48[/tex], entonces el Coste Total por concepto de 48 horas de consumo es:

[tex]C(48) = 10 + 1,5\cdot (48)[/tex]

[tex]C(48) = 82[/tex]

El Coste total por 48 horas de consumo de la línea telefónica con internet es 82 soles.

Invitamos a ver este problema sobre Costes: https://brainly.com/question/15723794

Wallace writes the number 72,204 in a
place-value chart. Select the places that
will be filled on the chart.
Ones
Tens
Thousands
Ten thousands
Hundred thousands
Can anyone help

Answers

looks like the answer C. Thousands.

In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

The place value of a general abcd digit is given by

d = ones

c = tens

b = hundreds

a = thousands

So,

In the given number 72,204

4 = ones

0 = tens

2 =  hundreds

2 = thousands

7 = hundred thousand

Hence "In the number 72,204 the ones, tens, thousand, and ten thousand will be 4,0,2, and 7 respectively".

To learn more about digits,

https://brainly.com/question/10913044

#SPJ2

Is 11^10 equivalent to 11^5

Answers

Answer:

No

Step-by-step explanation:

They are different because the base are the same but the exponents are different.

After a dilating a square with a scale factor of 3, which describes the image of the square?
O Its sides are 1/3 as long as those of the original square.
O its sides are 3 times as long as those of the original square.
O Its sides are 3 units longer than those of the original square.
O Its sides are 3 units shorter than those of the original square.

Answers

Answer:

2. It's sides are 3 times as long as those of the origanal square.

Step-by-step explanation:

The scale factor is 3. So the scale of the sides of the orig. square to the image is 1:3. So, it is 3 times as large as the preimage.

Hi, I need an answer to this question pls. Louisa used Uber which charges $2 for the first mile and $1.10 for each additional mile. Pietro used Lift which charges $5 for the first mile and $0.95 for each additional mile. They paid the same amount and traveled the same distance. How far did they travel? Show work pls!!

Answers

Answer:

20 miles

Step-by-step explanation:

Let x = amount charge each mile

y = total price paid

Since the Uber charged $1.10 for each mile, we multiply x by 1.1 like this 1.1x

Also, $2 were already charged so we add 2 to the total price

y = 1.1x + 2

Since the Lyft charged $0.95 for each mile, we multiply x by 0.95 like this 0.95x

Also, $5 were arleady charged so we add 5 to the total price

y = 0.95x + 5

We have to find a price where both rides match

1.1x + 2 = 0.95x + 5

Let's move the like terms to one side by subtracting 0.95x from both sides

1.1x + 2 = 0.95x + 5

-0.95x   -0.95x

0.15x + 2 = 5

Now, subtract 2 from both sides

0.15x + 2 = 5

         - 2  - 2

0.15x = 3

Finally, divide both sides by the coefficient, 0.15, to isolate the variable, x

0.15x/0.15 = 3/0.15

x = 20

This means they traveled 20 miles if they were to pay the same price

HELP!!! QUICK!!!
PLEASEE

Answers

Answer:

Answer is 'B'.

Step-by-step explanation:

Find the area of these numbers

Answers

Answer:

It's a rectangle. So,

Area = Length × Width

Area = 16.4 × 9

Area = 147.6 cm²

To find the area of a rectangle, take the length and times it by the width.
A=lxw
A=16.4cm x 9cm
A=147.6cm^2
***don’t forget about the exponent***

A scientist uses 3 gallon of liquid for every 6 hours he uses (blank) of a gallon each hour he works

Answers

Answer:

2 gallons per hour

Step-by-step explanation:

6 divided by 3

the difference of n and 4 is 26


helppppp meee please​

Answers

Step-by-step explanation:

n-4=26

i have make the eqution

MAKE ME BRAUNLISR

Answer:

30

Step-by-step explanation:

First make the equation:

n - 4 = 26

Note: difference is subtraction

Solve:

n - 4 = 26

   +4    +4

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

   n = 30

Hope this helped.

If Sarah drives 55 miles per hour, how long will it take her to drive from
Amityville to Denton?

Answers

Answer:

29.5 hours

Step-by-step explanation:

Amityville to Denton is 1625 miles.

Since we know that Sarah drives at 55 mph we can divide 1625/55 and get 29.45454... and I assume that they want it rounded so it will be around 29.5 hours

Answer:

29.552727272727273 hours

Step-by-step explanation:

rounded to nearest minute is 29 hours and 55 minutes.

Which list shows all the factors of 36

Answers

1,2,3,4,6,9,12,18,36

Helps me pleaseeeee ;)

Answers

By 8
40
48
Hope this helps *smiles*
Sorry if it’s wrong

Of depression of a banana from the monkey tree 25m high is 56 degree . Calculate the distance of the banana from the foot of the tree

Answers

Answer:

164 in sum

Step-by-step explanation:

plus it and get the answer

Ryan records four numbers from his science homework using scientific notation.
35x10^5 , 2.6x10^3 , 1.6x10^-6 , 7.9x10^2.
which number did Ryan record incorrectly?​

Answers

[tex]\large \mathfrak{Solution : }[/tex]

The incorrect one is 35 × 10⁵

it can be written as :

[tex]3.5 \times 10 {}^{6} [/tex]

Jane drove 406 miles in 7 hours.
At the same rate, how long would it take her to drive 522 miles?
9 hours
Х
6
?

Answers

Answer:

9 hours

Step-by-step explanation:

solve for x pls show your work
1/6x-1/8=11/12

Answers

Answer:

6 and 1/4

Step-by-step explanation:

1/6 x - 1/8 = 11/12

First, let's find the least common denominator (24) to make these fractions manageable to work with: 4/24 x - 3/24 = 22/24.

Next, add 3/24 to both sides: 4/24 x = 25/24.

We can cancel out the denominators at this point to get: 4x=25.

Divide both side by 4, and x = 25/4 = 6 and 1/4 or 6.25

14 - 8 + 3 + 8 × [24 ÷ 8]

Answers

Answer:

33

Step-by-step explanation:

14 - 8 + 3 + 8 × [24 ÷ 8] =

14 - 8 + 3 + 8 × 3 =

14 - 8 + 3 + 24 =

6 + 3 + 24 =

9 + 24 =

33

Answer:

14-20×(24÷8)=-6×{3}=-18

A-123
B-57
C-90
D-33

Answers

Answer:

D

Step-by-step explanation:

Four times the quantity of a number plus six

Answers

Answer:

4x + 6. 4 times the unspecified quantity plus 6 would be written like this as an equation.

Answer:

4x+6

Step-by-step explanation:

four times the quantity of a number x plus six

pin this please answer my question i will make you a brainlist .....​

Answers

Answer:

10%

Step-by-step explanation:

Given:

Borrowed amount P = Rs 100000Time t = 3 yearsNumber of compounds n = 3Interest I = Rs 33100Rate r = ?

Use formula:

I = P(1 + r)³ - P

Substitute values and solve for r:

33100 = 100000(1 + r)³ - 100000133100 = 100000(1 + r)³(1 + r)³ = 133100/100000(1 + r)³ = 1.3311 + r = ∛1.3311 + r = 1.1r = 0.1  or 10%

2 tacos cost $6. What is the cost for 6 tacos?

Answers

Answer:

the answer is 18.

Solve for x. Show work


10-1/2x = 6 + 3x


Answers

Answer:

[tex]x = \frac{8}{7} [/tex]

Step-by-step explanation:

[tex]10 - \frac{1}{2} x = 6 + 3x[/tex]

[tex]20 - x = 12 + 6x[/tex]

[tex]20 - x - 6x = 12 + 6x - 6x[/tex]

[tex]20 - x - 6x = 12[/tex]

[tex] - x - 6x = 12 - 20[/tex]

[tex] - 7x = 12 - 20[/tex]

[tex] - 7x = - 8[/tex]

[tex]x = \frac{8}{7} [/tex]

x=8/7

....

.......

......

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