What is the algebraic inverse of the function? f(x) = 2x -6 please include steps

Answers

Answer 1

9514 1404 393

Answer:

  f^-1(x) = (x +6)/2

Step-by-step explanation:

The inverse function is found by solving ...

  x = f(y)

Here that is the solution to ...

  x = 2y -6

  x +6 = 2y . . . . . add 6

  (x +6)/2 = y . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (x +6)/2


Related Questions

Please answer both of them questions please no links or you will be reported

Answers

if ur a u r so good but bot a good

Rashawn read 25 pages of his book each day until he finished the book. his book was 400 pages long. which sketch represents this situation?

Answers

Answer:

It took 16 days

Step-by-step explanation:

400/25=16


What is the Domain and range of y = 2 x - 11 + 2

Answers

Step-by-step explanation:

the domain is the set or range of valid values for x.

the range is the set or range of valid values for y (= f(x)).

if you did not miss anything in your problem statement, then I see a function

y = 2x - 11 + 2

no restrictions are defined.

so, domain and range are both the interval

(-infinity, +infinity).

notice the round brackets, as "infinity" is never a value and cannot be included in an interval.

now, if you missed a division sign and the function looks like

y = 2/x - 11 + 2

then we know, x must never be 0, as a division by 0 is undefined.

so, the domain in that case would be

-infinity < x < 0, 0 < x < +infinity

or short

x <> 0

the range would still be every possible value in

(-infinity, +infinity).

Factor out the coefficient of the variable term.
4x - 20
Factored expression:

Answers

Answer:

[tex]4(x-5)[/tex]

Step-by-step explanation:

The expression 4x - 20 has the greatest common factor (GCF) of 4.

[tex]4x-20\\4(x-5)[/tex]

Therefore, the factored expression is 4(x - 5).

The coefficient of the variable for the expression 4x - 20 is found as 4.

What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.

For the given question,

The expression is given as;

4x - 20

where,

4 is the coefficient of the variable of the expression.

-20 is the constant in the expression.

Thus, the coefficient of the variable is found as 4.

To know more about the coefficient of the variable, here

https://brainly.com/question/1038771

#SPJ2

Khả năng gặp rủi ro khi đầu tư vào các dự án I, II tương ứng là 9%, 7% và gặp rủi ro đồng thời khi đầu tư cả hai dự án là 4%. Nếu đầu tư cả hai dự án, tính xác suất để: a) Ít nhất một dự án gặp rủi ro. b) Chỉ dự án I gặp rủi ro

Answers

Answer:

pogi mooooo loooodsssssssss

maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit​

Answers

Her profit is $4.80 :)

$7.20•2=$14.40
24 pens • $0.80 =$19.20
$19.20-$14.40=$4.80 profit :)

n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.

Answers

The medal category in which the United States far outperformed its closest competitor is the gold medal category.

In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.

Gold medal

Medals US got = 1022

Medals the closest competitor had = Soviet Union = 440

Difference = 1022 - 440 = 582 medals.

Silver medals

Medals US got = 794

Medals the closest competitor had = Soviet Union = 357

Difference = 794 - 357 = 437 medals

Bronze medals

Medals US got = 704

Medals the closest competitor had = Germany = 349

Difference = 704 - 349 = 355 medals

Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults

(0,3) and (2,4) are on the line

Answers

Slope-intercept form is y = mx + b

The slope can be found by dividing y(2) - y(1) by x(2) - x(1).

4 - 3 = 1
2 - 0 = 2
m = 1/2

Since the first point has an x-coordinate of 0, the y-coordinate is the y-intercept of the line.

b = 3

Equation: y = 1/2x + 3

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?

Answers

Answer:

length: 601 1/3 area: 361601 7/9

Step-by-step explanation:

the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3

1804/3=601 1/3

the length is 601.(3)

square to find the area

(1804/3)^2

361601 7/9

area is 361601 7/9

Please help thank you

Answers

sorry i dk

.................................

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

3.14 × 30²

3.14 × 900

2826 m

so,

area of rectangle + area of circle = area of the training field.

6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

I need help answering this question can anyone help me out I am very confused.

Answers

Answer:

-4

Step-by-step explanation:

If you solve the inequality, you'll get

5x - 5 > - 20

5x > -15

x < -3

So you know that x values can be from -∞ to -3

So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.

Hope this helps! :)

if a system of equations have no solution, what does the graph look like?

Answers

The two lines are parallel.

PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator​

Answers

before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line

What is the sum of the roots of the quadratic equation x²+6x-14=0?​

Sum of Roots = ___ Product of Roots = ____​

Answers

Answer:

Sum of Roots = (-8) Product of Roots = (-84)

Step-by-step explanation:

[tex] {x}^{2} + 6x - 14 = 0[/tex]

Roots :- 6 and -14

Sum of the roots :

[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

= (-84)//

Choose the scientific notation for 0.01.
O 1x 10-4
O 1x 103
O 1x 10-2
O 1x 101

Answers

I believe it’s the third one hope it helps

Answer:

1×10-2

Step-by-step explanation:

10-2 = 1÷100 =0.01×1 = 1× 10-2

write a formula, including units, for the surface area.

Answers

Answer:

plz mark me as a brainliest plz

Which equation represents a line which is parallel to the line Y= 1/2 X +3 1. y-2x=-5 2. 2x+y=-6 3. x-2y=2 4. x+2y=4

Answers

Answer:

x-2y=2.

Step-by-step explanation:

1) if to re-write all the given equations of the lines, then

y=2x-5; y=-2x-6; y=1/2x-1; y= -1/2x+4.

2) y=1/2x-1 only is parallel to the given y=1/2x+3.

The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.​

Answers

Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

9÷3 = 3

12÷3 = 4

lastly you put these as a fraction

3/4

I hope this helps :)

Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have

Answers

Answer:

56 cents

Step-by-step explanation:

1 quarter = 25 cents

3 dimes = 30 cents

1 penny = 1 cent -_-

25 + 30 + 1 = 56

like a good neighbor...........?

Answers

Answer:

state farm is there!

Step-by-step explanation:

state farm is there............?

Moly has 83.50 in her savings account.she deposits 15 every week

Answers

Answer:

she will spend 5 weekings taking out mobey and with 13.50 left over

Step-by-step explanation:

Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.

Answers

equation of the line: y=-2/3x - 7
graph of the line:

Line with a slope of -1/4 and containing. (4,-3)

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x + b

-3 = -1/4(4) + b

-3 = -1 + b

-2 = b

Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.

Answers

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

What is 4 times 4 and 5555 times 8999989

Answers

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

Answer:

49994938911

Step-by-step explanation:

(4times4)(5555times8999989)

Help Help Help!!!!!!

Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?

A. $86,975
B. $89,510
C. $92,045
D. $98,510

Answers

Answer:

Step-by-step explanation:

B is the answer

Answer:

C is the answer

Step-by-step explanation:

2,535 x 15= 38,025 + $54,020= $92,045 or C

Brainliest will be appreciated thank you!

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

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