Determine f –1(x) if f of x is equal to the quantity x plus 1 end quantity over the quantity x minus 2 end quantity where x ≠ 2. (5 points)
f inverse of x is equal to the quantity x minus 1 end quantity over the quantity 2 times x plus 1 end quantity
f inverse of x is equal to the quantity x minus 2 end quantity over the quantity x plus 1 end quantity
f inverse of x is equal to the quantity x minus 1 end quantity over the quantity x plus 2 end quantity
f inverse of x is equal to the quantity 2 times x plus 1 end quantity over the quantity x minus 1 end quantity

Answers

Answer 1

The inverse of the function, f⁻¹(x), if f(x) = [tex]\dfrac{x + 1}{x - 2}[/tex] is the option;

f inverse of x is equal to the quantity 2 times x plus 1 end quantity over the quantity x minus 1 end quantity.

Mathematically, the inverse is; [tex]f^{-1}(x) = \dfrac{2\cdot x + 1}{x - 1}[/tex]

What is the inverse of a function?

The inverse of a function is another function that undoes the operations of another function, such that when the output of the function is the input of the inverse function, the input of the function is obtained.

The specified function is presented as follows;

f(x) = (x + 1)/(x - 2) and x ≠ 2

The inverse of the above function is found as follows;

Let y represent f(x);

y = (x + 1)/(x - 2)

x·y - 2·y = x + 1

x·y - x = 1 + 2·y

x·(y - 1) = 1 + 2·y

x = (1 + 2·y)/(y - 1) = (2·y + 1)/(y - 1)

Plugging in y = x, and x = f⁻¹(x), we get;

f⁻¹(x) = (2·x + 1)/(x - 1)

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

The correct option is therefore;

f inverse of x is equal to the quantity 2 times x plus 1 end quantity over the quantity x minus 1 end quantity

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Related Questions


SOMEONE PLS HELP ME

Answers

Answer:

4

Step-by-step explanation:

hope this helps

Answer:

The slope is 2

Step-by-step explanation:

its 6/3 and if you simplify that its 2

what is 23 + 23 - 789

Answers

Answer:

743

Step-by-step explanation:

23+23=46

789-46=743

Answer:

743

Step-by-step explanation:

19 tens is the same
as
Count forward by fives.

Answers

19 tens is 190 but i don’t know what you mean by count forward by fives

It will take 48 hours of work to complete the garden.
The garden must be finished in 3 days.
Each gardener works for 8 hours per day.
How many gardeners are needed?

Answers

6 Gardner’s because 48/8=6

Do
10 cm
10 cm
20 cm
form an triangle?

Answers

Answer:

No it is unable to form a triangle.

Step-by-step explanation:

It cannot be because one side is two times the other side, and there are two of the "other sides". It cannot form a triangle.

Answer:

Step-by-step explanation:

The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.

Answers

Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the equation is defined as follows:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In the context of this problem, the values of the parameters are given as follows:

A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.

Hence the equation for the number of students in t years after 2005 is given as follows:

[tex]A(t) = 127(1.03)^t[/tex]

The number will be of 350 students when A(t) = 350, hence:

[tex]A(t) = 127(1.03)^t[/tex]

[tex]350 = 127(1.03)^t[/tex]

[tex](1.03)^t = \frac{350}{127}[/tex]

[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]

t = 34.3 years.

34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.

Missing Information

The problem asks for when the population will be of 350 students.

More can be learned about exponential functions at https://brainly.com/question/25537936

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Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}​

Answers

Answer:

A

Step-by-step explanation:

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

Find the value of x.
m2 = x + 85
2
73°

Answers

Answer:

-12

Step-by-step explanation:

in an iscocles, the base angles equal eachother so,

73=x+85

x=-12

The answer is -12 x=-12

How many 1/2 cup servings are in 6 cups of grapes?

Answers

Answer:

There are 12

Step-by-step explanation:

hope this helps.

There is 12 1/2 servings in 6 cups of grapes

Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!

Answers

Step-by-step explanation:

4+12x=7

12x=7-4

12x=3

X=3/12

X=0.25

solve the equation 8 + b = 26 and b=

Answers

b=26-8
so the answer is b=18
B is equal to 18 hope this is correct

Berapakah volume bangun di atas?​
Pake cara yya !

Answers

Answer:

Volume of the figure = 64 cm³

Step-by-step explanation:

Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD

Volume of complete cuboid = Length × Width × Height

                                               = 10 × 2 × 6

                                               = 120 cm³

Volume of the part having one face as ABCD = AB × BF × BC

                                                                            = 7 × 2 × (6 - 2)

                                                                            = 56 cm³

Volume of the given figure in the picture = 120 - 56

                                                                    = 64 cm³

Therefore, volume of the figure = 64 cm³

15x > - 60

Help and I’ll give u brainlist :)

Answers

Answer:

most likely 1 or 20 but im not so sure tho

100% of what equals 12​

Answers

Answer:

12

Step-by-step explanation:

A recent General Social Survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the standard deviation was 11.0. The distribution had a median of 5 and a mode of 4.Based on these statistics, would you expect this distribution to be bell-shaped, left skewed, or right skewed?

Answers

Answer:

This distribution should be expected to be right skewed.

Step-by-step explanation:

Pearson skewness:

The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.

If the coefficient is positive, the distribution is right skewed.

If the coefficient is negative, the distribution is left skewed.

If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.

In this question:

Mean 7.4, mode 4, standard deviation 11

(7.4-4)/11 = 3.4/11 = 0.31

Positive coefficient, so right skewed.

Slope of (-2,-1) and (2,-3)

Answers

SLOPE is the picture.

Point-Slope form is y+1=-1/2*(x+2)

The y=mx+b form is y=-1/2x-2

i hope its not confusing lol

8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None​

Answers

Answer C is correct

The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters

Answers

Answer: 1= A/w

Step-by-step explanation:

Find the vertex of the graph of the quadratic function f(x)=7x2+14x+10

Answers

Answer:

plazzz get lost bro fast

a population consists of the five measurement 2,3,6,5 and 7. what is the mean?​

Answers

Answer:

4.6

Step-by-step explanation:

Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. At least one tattoo No tattoo Row Totals Age 18 - 29 170 320 490 Age 30 - 50 60 445 505 Column Totals 230 765 995 Which proportions are most useful in analyzing the relationship between age and tattoos? Group of answer choices 170 / 230 and 60 / 230

Answers

Answer:

1. 170/490 and 60/505

2. 320/490 and 445/505

Step-by-step explanation:

No options were given, but the question can still be answered

Given

[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]

Required

Which proportion best compares age and tattoos?

The row data represents the age range of each group while the column data represents the amount of tattoo by each group.

So, to make comparison:

You simply pick a cell data and compare it to the row total.

Take for instance

For those who have at least 1 tattoo. The proportion to use are:

170/490 --- For age range: 18 - 29

60/505 --- For age range: 30 - 29

For those without tattoo. The proportion to use are:

320/490 --- For age range: 18 - 29

445/505 --- For age range: 30 - 29

What is the area of the figure?

Answers

Answer:

졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ

ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ

Step-by-step explanation:

ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려

What is -8x-9-5+9 plz help

Answers

Answer:

-8x - 5

Step-by-step explanation:

-8x - 9 - 5 + 9 = -8x - 5

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Which of these best describes a pair of supplementary angles?


a . Two angles whose sum is 90°.

b . Two non-adjacent angles formed by the intersection of two lines.

c . Two angles whose sum is 180°

d . Two angles that share a common side and vertex with no common interior points.

Answers

Answer:

c . Two angles whose sum is 180°

Step-by-step explanation:

Hope it helps you in your learning process

Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.

Answers

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

Evalute 4+(7-5)⁴?
PLEASE HELP

Answers

Answer:

The answer is 20

Step-by-step explanation:

(7-5)=2

2^4 = 16

16 + 4 = 20

which explains how to find the quotient of the division below -3 1/3 / 4/9​

Answers

KCF method
keep the first one the same, change the sign to multiplication, and flip the last fraction to its reciprocal.
(also change the first fraction to an improper fraction)
-10/3 x 9/4 = -90/12
-7.5 or -7 1/2


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

Step-by-step explanation:

(5, 38) (6, 39)

(39 - 38)/(6 - 5) = 1/1= 1

y - 38 = x - 5

y = x + 33

A submarine is 84 feet below the surface of the water and descends 10 feet
deeper every minute. How many minutes will it take for the submarine to be
located 219 feet below the surface? Write and solve an equation,

Answers

Answer:

13.5

Step-by-step explanation:

219-84=135

10*13.5=135

so it would take 13.5 minutes to get to 219 since 84+135=219

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