what is the inverse of g?
g(x) = 3/x+7

Answers

Answer 1

Given function :-

[tex]\bf \implies g(x) = \dfrac{3}{x}+7[/tex]

To find its reverse , substitute y = g(x) .

[tex]\bf \implies y = \dfrac{3}{x}+7[/tex]

Interchange x and y .

[tex]\bf \implies x = \dfrac{3}{y}+7[/tex]

Solve for y .

[tex]\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} [/tex]

Replace y with f-¹(x) .

[tex]\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}[/tex]


Related Questions

can someone please help with this one?

Answers

Answer:

Website a is cheaper by 29 cents

Step-by-step explanation:

Pls help me on this.

Answers

9514 1404 393

Answer:

  domain: (-4, -2) ∪ [-1, 4]

  range: (-5, 3)

Step-by-step explanation:

Domain

The domain is the horizontal extent of the graph. Here, it is comprised of two intervals. The left interval is open, as the function is not defined for x-values of -4 or -2. That interval is (-4, -2). The right interval is closed, as the function is defined for both x=-1 and x=4. That interval is [-1, 4]. The domain is the union of these two intervals.

  D: (-4, -2) ∪ [-1, 4]

__

Range

The range is the vertical extent of the graph. The left portion of the graph has a range from -5 to 3, but neither of those values is included in it. That is, the range is an open interval: (-5, 3).

The right portion of the graph has a range from 1 to 2, including both of those values. This interval is already included in the interval (-5, 3), so only one interval is needed to describe the range:

  R: (-5, 3)

I will mark brainliest!!!!!!! Please I don’t have much time!!!!!


Which ordered pairs is a solution to -52 + 3y > 12?
(3,9)
(-5,5)
(3,-6)
O |(-2,-5)
(2,8)
(-6,0)

Answers

-52 +3y >12
3y >64
y >21.3

how do you solve this (first equation) x=2y-1 (second equation) x+y=40

Answers

Answer:

[tex]x = 26 \frac{1}{3} \\ [/tex]

[tex]y = 13 \frac{2}{3} \\ [/tex]

Step-by-step explanation:

x = 2y - 1

x - 2y = -1 ________(1)

x + y = 40________(2)

(2) - (1)

[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]

y = 13 2/3

[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]

What is the value of 9 squard

Answers

I presume you mean 9 'square'

9^2= 9 X 9 = 81

Cheerio ✌️

Step-by-step explanation:

The value of 9 Square is = 9 ×9= 81

Hope it's help you

x2−5x+8 if x=3 plz help

Answers

Answer:

Step-by-step explanation:

if its x to the second power:

(3)^2-5(3)+8= 9-15+8=17-15=2

if it is 2x

2(3)-5(3)+8=6-15+8 =-1

Tìm đạo hàm Y' = Y'(x) tại X0 = π/4 của hàm số y -= y(x) được cho bởi phương trình tham số
X= arctan t
y = ln t

Answers

about it ok to my house and Elsa and Anna and I are going to my house and I don't know what it's like to my

Write 4/5 as an equivalent fraction in 3 different forms.

Answers

The answers are 8/10, 12/15, 16/20

What is the main idea or topic of a story called?
A. plot
B. theme
C. character
D. dialogue

Answers

Answer:

the answer is B. Theme. Hope this helps

It is B theme

Explanation

The theme is what the story’s topic is about
It’s also the main idea

Please Help! I will give you a lot of points! (6.3)

The average yearly salary of a lawyer is $34 thousand less than twice that of an architect. Combined, an architect and a lawyer earn $215 thousand. Find the average yearly salary of an architect and a lawyer

What is the average yearly salary of an architect?

What is the average yearly salary of a lawyer?

Answers

Let architect s income be x

Lawyers income be 2x-34

AtQ

[tex]\\ \sf\longmapsto x+2x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x=249[/tex]

[tex]\\ \sf\longmapsto x=83[/tex]

[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]

Lawyers income=132thousandArchitect s income=83thousand

Which angle is congruent to 7? Select all that apply​

Answers

Answer:

angles 5, 1, and 3

Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a statistics software package and results in a regression equation of ŷ = 15 - 1.5x.

What is the correct interpretation of the slope if the length of the tail is the response variable and the age is the explanatory variable?

Answers

Using the slope concept, it is found that the correct interpretation is that each day, the length decreases by 1.5 millimetres.

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which

m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.b is the y-intercept, which is the value of x when y = 0.

In this problem, the length of the tail, in millimetres, after x days, is given by:

[tex]y = 15 - 1.5x[/tex]

The slope is of [tex]m = -1.5[/tex], which means that each day, the length of the tail decreases by 1.5 millimetres.

A similar problem is given at https://brainly.com/question/13967935

The residents of a city voted on whether to raise property taxes.

The ratio of yes votes to no votes was 7 to 5.

If there were 6251 yes votes,

what was the total
number of votes?

Answers

Answer=4465

7*6251=893

893*5=4465

Step-by-step explanation:

Evaluate the function for
f(x) = x + 3 and g(x) = x^2 − 2.
(f + g)(−8) =

Answers

The answer is -71. I put the -8 in place of the x, then solved.

Devan stand s926 meters

Answers

Answer:

I believe your missing part of the question.

what is the answer to 2/5+5/10=

Answers

Answer:

[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10

[ Hope that helped :) ]

Is (-12,8) a solution to 2x+y=40

Answers

Answer:

no it is not. the line crosses the x in 20, and crosses the y in 40

a plant measures 0.5 in. at the end of week 1 and 14 in. at the end of week 5

Answers

Answer:

it is 67.5 inches at the end of week 5

Step-by-step explanation:

the total is 13.5 inches in one week because it started at 0.5 inches then you add 13.5+13.5+13.5+13.5+13.5=67.5

(-11[(3-25 divided by |-2|+5]

Answers

Answer:

(-11[2-25/ l-2l + 5]

(11[2-25/2+5]

(11[23/7]

11(3.28571428571)

36.1428571429

Question 3 options:
Balance the equation. What coefficient goes in from of N2?

___N2 + H2 → NH3
Balance the equation. What coefficient goes in from of H2?

N2 + ___ H2 → NH3
Balance the equation. What coefficient goes in from of NH3?

N2 + H2 → ___NH3

Answers

Answer:

For N2= 1

For H2=3

For NH3=2

Does anyone know how start studying like the motivation too like on math mostly?

Answers

Answer:

See below:

Step-by-step explanation:

If you want to start studying but cant find the will too, set up a schedule and try to limit your mind to just studying during that time, you can start small like ~15 minutes on your first day, and gradually improve once your mind starts to adjust to it.

Its mostly figuring out how your mind works.

Funny how school teaches you, but doesnt teach you how to learn.

If this answer helped you, please consider marking as brainliest, helps a ton.

Have a nice day!

The current United States population is about 314,000,000 people. If an iPad costs $500.00, what would be the total cost of purchasing an iPad for each person? ​

Answers

Answer:

157,000,000,000

Step-by-step explanation:

314,000,000 X 500

Alex is making string bracelets for his friends he has 5 meters of string to make each bracelet. How many bracelets can Alex make?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...

Answers

Answer:

C or B

Step-by-step explanation:

because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C

i have glass in my hand 4 months after a car accident what should i do just continue to wait for it to come out?

Answers

Answer:

hello! im taking medical school rn to be a paramedic and what i would do is either get a pair of tweezers and get it out or go to your local hospital to get it quickly removed!

Step-by-step explanation:

No you should make sure it’s not infected and put some rubbing alcohol or some infection stuff on it then you should call the doctor.

4 + (8 + 4)3power -5​

Answers

Answer:

i dont know what you want but exact form is 983/243

decimal form is 4.04526748

mixed form 4 [tex]\frac{11}{243}[/tex]

Step-by-step explanation:

12. Jessica places 3 photos on the cover of her picture album. She places 4 photos on each of the other pages. She has
135 photos in all. How many pages will she need if she uses all of her photos?
A. 33
B. 38
C. 40
D. 28

Answers

Answer:

A 33

Step-by-step explanation:

135 - 3 = 132 photos for other pages

132/4 = 33 pages

Find the exact value of sin

Answers

Plug into the Sine subtraction formula which is sin(x - y) = sinxcosy - cosxsiny
So
First find the Cos of the values using a triangle and the Pythagorean theorem
Triangle X missing side =Sqrt(5^2 - 4^2) = 3
Triangle y missing side = sqrt(13^2 - 12^2) = 5
So we now plug it into the equation
(4/5)(5/13) - (3/5)(12/13)
Multiply
4/13 - 36/65 = -16/65



Solve the following for X:
4x + y = z
a. x = z - y - 4
b. x = z+y/4
c. x = z-y/4
d. x = z/4

Answers

Please check the attached picture

Answer:

the answer is c

Step-by-step explanation:

I used brainly

Flowers - Samantha and Maria purchased flowers. Samantha bought five roses for "r" dollars each and four daises for "d" dollars each. Altogether, Samantha spent $32 on flowers. Maria purchased one rose for "r" dollars apiece and six daisies for "d" dollars apiece - spending $22 total.

a) Write a system of equations (two linear equations) using appropriate variables.

b) Solve the system to find the cost of roses and daisies. Use any strategy that you've learned.

Answers

Answer:

part a

[tex]5r + 4d = 32[/tex]

[tex]r + 6d = 22[/tex]

part b

the value of roses is 4 dollars a pieces and that of daisies is 3 bucks a piece

Step-by-step explanation:

part a

for part a just denote r for roses and rerecord the question in terms of a function of roses and daisies the right hand side should be the prices or cost

part b

solve the two equations simultaneously or by substitution.

let's do simultaneous

multiply the secondequation by 5

[tex]5r + 4d = 32[/tex]

[tex]5r + 30d = 110[/tex]

subtracting the two,

[tex]26d = 78[/tex]

therefore

[tex]d = 3 dollars[/tex]

find the value of roses,

[tex]5r + 4(3) = 32 \\ 5r = 32 - 12 \\ r = 4[/tex]

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