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

What Is The Inverse Function Of F(x) = X/x-2

Answers

Answer 1

9514 1404 393

Answer:

 f^-1(x) = 2x/(x -1)

Step-by-step explanation:

You can find the inverse function by solving for y:

  [tex]f(y)=x\\\\\dfrac{y}{y-2}=x\\\\x(y-2)=y \qquad\text{multiply by $y-2$}\\\\xy-2x=y \qquad\text{eliminate parentheses}\\\\xy-y=2x \qquad\text{add $2x-y$}\\\\y(x-1)=2x \qquad\text{factor}\\\\y=\dfrac{2x}{x-1} \qquad\text{divide by the coefficient of $y$}\\\\\boxed{f^{-1}(x)=\dfrac{2x}{x-1}} \qquad\text{in functional form}[/tex]


Related Questions

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Nakano’s Car Sales increased its sales of sedeans by 18%. By what fraction did the company increase its sales?

Answers

Answer:

9/50

Step-by-step explanation:

Turning 18% to a decimal= .18. As you turn the decimal to a fraction, it gives you 9/50

9/50= .18

WILL GIVE BRAILIEST IF YOU ANSWER!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 paid $2.50 per ticket, while everyone else paid $4.00 per ticket. Last night’s show brought in $910.
Write a system to represent the given equations.

How many adult tickets were sold?

How many under the age of 16 tickets sold

Answers

Answer:

Adult Tickets: 190

16 and less: 60

Step-by-step explanation:

190 x 4.00 + 60 x 2.5 = 910


Determine the measure of the angle in ?

Answers

Answer:

? = 30°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

48° is an exterior angle of the triangle, then

? + 18° = 48° ( subtract 18° from both sides )

? = 30°

simplify: 2(3x-2)-(2x-4)

Answers

The answer would be 4x

Answer:

4x

Step-by-step explanation:

2(3x-2)-(2x-4)

6x-4-2x+4

4x

Convert 6/7 to a decimal. Round to the nearest hundreths.

Answers

Answer:

Step-by-step explanation:

6/7 = 0.8571428571 = 0.86

The fraction 6/7 value in decimal form is 0.86.

To convert the fraction 6/7 to a decimal, you need to divide the numerator (6) by the denominator (7). Here's how you can do it:

Divide 6 by 7: 6 ÷ 7

= 0.8571428571428571 (long division)

To round the decimal to the nearest hundredths, look at the digit in the thousandths place (the third digit after the decimal point).

In this case, the digit is 7.

Since the digit 7 is greater than or equal to 5, we round up the hundredths digit.

The hundredths digit is the second digit after the decimal point.

The rounded decimal is 0.86 (rounded to two decimal places).

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ6

Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row. Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row. How many more cabinets does Mr. Lozano have than Mrs. Jackson?

Answers

Answer:

Mr. Lozano has 9 cabinets more.

Step-by-step explanation:

Mr. Lozano's office has nine rows of filing cabinets with nine cabinets in each row.

So, the total cabinet in Mr. Lozano's office is: [tex]9 \times 9=81[/tex]

Thus, the total number of cabinets in Mr. Lozano's office is 81.

Mrs. Jackson's office has six rows of cabinets with 12 cabinets in each row.

So, the total cabinet in Mrs. Jackson'soffice is: [tex]6 \times 12=72[/tex]

Thus, the total number of cabinets in Mrs. Jackson's office is 72.

Now subtract 72 from 81 as Mr. Lozano's office has more cabinets.

[tex]81-72=9[/tex]

Hence, Mr. Lozano has 9 cabinets more.

0.002347 written to three significant figures is

Answers

Answer:0.00234

Step-by-step explanation:

solve for x???????????

Answers

Answer:

[tex]x=9[/tex]

Step-by-step explanation:

For this you just have to make an equation and in order to do that you have to know that all these angles will equal 180°. Now we can write it out.

[tex]3x-4+13x+2+5x-7=180[/tex]

Now we combine like terms:

[tex]21x-9=180[/tex]

Add the 9 on both sides:

[tex]21x=189[/tex]

Divide the 21 on both sides:

[tex]x=9[/tex]

if 12% = £54
what does 100% =

Brainliest to first correct answer :)

Answers

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

What’s the answer????

Answers

4a and 14a can be combined with 3a! Hope this helped

where x is the value, 4 is the mean,
The formula for a z-score is z =
(x-0)
44
and o is the standard deviation.
A. True
B. False

Answers

Answer:

False

    [tex]Z = \frac{x-mean}{S.D}[/tex]

   Z = x - μ /σ

Step-by-step explanation:

Explanation

The given mean of the Population= μ

Given the standard deviation of the Population(S.D) = σ

Let 'X' be the random variable in a normal distribution

Z-score

     [tex]Z = \frac{x-mean}{S.D}[/tex]

   Z = x - μ /σ

Answer:

true

Step-by-step explanation:

find the value of x please

Answers

Answer:

154 + 88 + 29 = 271 // 360 - 271 = 89 is your answer.

Step-by-step explanation:

Is 4.61 an integer? Please tell me

Answers

Answer:

No

Step-by-step explanation:

4.61 is not an integer because integer's are either whole numbers, positive numbers, and negative numbers. 4.61 is an decimal and decimal is not on the integer list. If you need anymore help with integers just ask.

Answer:

No, 4.61 is not an integer.

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not.

Hope this helps.

Two servings has 310 calories. How many calories would five servings have?

1550 calories
775 calories
62 calories
152 calories

Answers

Answer:

775 cal

Step-by-step explanation:

310 divided by 2 = 155

155 is equal to one serving

155 x 5 = 775

775 is equal to five servings

Answer: 775 reason: first you would divide 310 by 2 which would equal 155 then you would do 155x5 which would equal 775

27 is 76% of what number?

Answers

Answer:

36

Step-by-step explanation:

i think im right about this

Answer:

35.53

Step-by-step explanation:

100% of 35.53 is 35.53 so 76% of 35.53 is 27

my teacher didn't teach me anything about scale factors and then assigned it to me- pls show work so that I can understand this ​hhhhhhhh

Answers

Answer:

x = 9 cm

y = 30 cm

Step-by-step explanation:

Here, we want to get the lengths of the missing sides

Mathematically if two shapes are similar, the ratio of their corresponding sides are equal

Thus, we have that:

15/50 = x/30

50 * x = 15 * 30

x = (15 * 30)/50

x = 450/50

x = 9 cm

Also;

y/50 = 18/30

30 * y = 50 * 18

y = (50 * 18)/30

y = 30 cm

Ernie and Lori are playing a game. The table shows their scores for the

5 times they have played the game. Which statement is true?

Answers

Answer:

ernie has the greater range.

Step-by-step explanation:

Ernie and Lori are playing a game. the table shows their scores for 5 times they have played the game.

Answer:2

Step-by-step explanation:

Help please ASAP!!!!

Answers

Answer: C (-6,0)

Step-by-step explanation:

2. Write ten dollars and sixteen cents using the dollar symbol (without spaces)

Answers

Answer:

$10.16

Step-by-step explanation:

$10.16 probably cause $10 stands for the wsp dollas and .16 is the vents

Determine if the measures create a
right triangle.
13m
5m
12m

Answers

Answer:

They do not.

Step-by-step explanation:

Even if you add them that will get you 13+5+12=30m which isnt 90 degrees. And even if you multiply them 12 times 5 is 60 times 13 that is 780 m :)

if you drive 153 miles and use 9 gallons of gas what is your rate

Answers

Answer:

50

Step-by-step explanation:

Answer:

153 divided by 9 equals 17

Step-by-step explanation:

Hope this helps :)

Which of the following will always be true of a graph that is non-proportional?

please help.

Answers

Given:

Consider any graph that is non-proportional.

To find:

The correct statement that is true of a graph that is non-proportional.

Solution:

We know that, if y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

In these cases if x=0, then y=0. It means the graph always pass through the origin, i.e., (0,0).

So, if a graph is not passes through (0,0), then it is non-proportional.

Thus, non-proportional graph will not pass through (0,0).

Therefore, the correct option is A.

Hal wants to buy a cake for his friend's birthday. When he went to the bakery, he found that price was marked down by 10%. If Hal pays $30, what was the original price?

Help plzz

Answers

You have to make a fraction like
10. X
—- =——
100 30

Then do that bat and ball thing and
The answers
3

PLEASE HELP WILL MARK BRAINLIEST!! I put math because I don’t know what this goes under but PLEASE HELP

Answers

Answer:

1. 8-10

2. oven

3. 200-220

4 dampen the surface of the bread

5. no allow it to cool

guys im freaking out right now help meeee please

Answers

Answer:

are u ok

Step-by-step explanation:

A number is first decreased by 40% and then again decreased by 60%. Find the percentage increase or decrease in the whole sum...please tell quickly

Answers

Answer:

It is decreased by 76 percent.

Step-by-step explanation:

The key skills are percentage and multiplication with percentages.

You first have to get a variable. Let's use the letter o as a variable (o For orginial cost). Then we have to find out how much it is when o is decreased by 40 percent. 100% (or the whole) - 40% is 60%. Therefore, with a 40 percent decrease, It would be 60% of o, or 0.6o. Then, if it decreases by 60 percent, the final number would be 100% - 60 % or 40% of 0.6o. This means itbwould be 0.4 × 0.6o which is 0.24o0.24o means that o is 24 percent of its orginial number, which is 100% - 24% or a 76 percent decrease.

Hope you understood and have a nice day!

11. 3/4 of 12=
12. 6/7 of 49
15. 2/3x27
16. 3/8 x 16

Answers

Step-by-step explanation:

3/4 of 12

3/4 × 12 = 9

6/7 of 49

6/7 × 49 = 42

2/3 × 27 = 18

3/8 x 16 = 6

Can someone help me with these questions

Answers

Answer:

The answer is below

Step-by-step explanation:

The nth term of a geometric sequence is given as:

[tex]a_n=ar^{n-1}\\\\where\ a=first\ term,a_n=nth\ term, r=common\ ratio=\frac{a_n}{a_{n-1}}[/tex]

9)

a = -4, r = 12 / -4 = -3

10)

a = -2, r = -8 / -2 = 4

[tex]a_{8}=-2*(4)^{8-1}=-2*(4)^{7}=-32768[/tex]

11)

a = -1, r = -5

[tex]a_{9}=-1*(-5)^{9-1}=-1*(-5)^{8}=-390625[/tex]

12)

a = -1, r = -2

[tex]a_{12}=-1*(-2)^{12-1}=-1*(-2)^{11}=2048[/tex]

If 12 juice boxes cost 4.20 how much do 15 cost

Answers

Answer:

5.25

Step-by-step explanation:

4.20 ÷ 12 = 0.35

0.35 x 15 = 5.25

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