Find the inverse of the following function. g(x) = 1/x - 2

plz show work

A.) g^-1(x) = - 2/x-1

B.) g^-1(x) = 2/x-1

C.)g^-1(x) = 1/x+ 2

D.) g^-1(x) = 2/x+1

Answers

Answer 1

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)


Related Questions

A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves; it turns out to be an ace. The ace is then placed in the second half-deck. The half is then shuffled, and a card is drawn from it. Compute the probability that this drawn card is an ace. Hint: Condition on whether or not the interchanged card is selected.

Answers

Answer:

[tex]\frac{3}{52}[/tex]

Step-by-step explanation:

Hope this helps! Ask me anything if you have any questions! I'm free to help you anytime!

Simplify

(5i²+8i+10) - (3i²-10i+3)​

Answers

Answer:

2i^2+18i+7

Step-by-step explanation:

(5i^2+8i+10)-(3i^2-10i+3)

5i^2+8i+10-3i^2+10i-3

2i^2+18i+7

Max walks 10 meters in 4 seconds what is his walking rate in meters per second?

Answers

Answer:

2.5 meters per second.

Step-by-step explanation:

[tex]\frac{\text{meters}}{\text{seconds}}=\frac{10}{4}=\frac{10/4}{4/4}=\boxed{\frac{2.5}{1}}[/tex]

Max's walking rate should be 2.5 meters per second.

Hope this helps.

Answer:

2.5 meter

You have to do 10÷4 wich is 2.5 and thats your awnser!

Will mark brainlist please help!!!!

Answers

Answer:

f(-3)= -8

f(2) = 4

Step-by-step explanation:

The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.

3(-3) + 1 = -8

The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.

Four of our eight planets are gas giants.
The rest are made of rock. What fraction
of our planets are gas giants?

Answers

Answer:

half of them 50% .5 4/8 1/2

Answer:

4/8 or 1/2 or 50%

Step-by-step explanation:

According to your info in the question:

4 planets are gas giants.

8 total planets.

4 / 8 simplified is 1/2

Solve for X. what are the measures of the two smaller angles? show your work

will mark brainiest for work​

Answers

Answer:

x=10

Step-by-step explanation:

right angle is always 90

we can add 4+6=10

90-10=80

3*x+5*x=8*x

8*x=80

divide both sides by eight

x=10

4.) What is the better buy?:
$5 for 8 pens
OR
$32.50 for 50
pens?
Show your work.

Answers

Answer:

$5 for 8 pens

Step-by-step explanation:

0.625 times 8= 5 dollars

0.625 times 50= 31.25

which is way cheaper

Answer:

5 for 8 pens

Step-by-step explanation:

I did it on a paper.

Lol

20x-3y = 4 and 3x -y = -5

Answers

Answer:

Step-by-step explanation:

3x-y=-5

y=3x+5

20x-3(3x+5)=4

20x-9x-15=4

11x=19

x=[tex]\frac{19}{11}[/tex]

y=3([tex]\frac{19}{11}[/tex])+5

y=[tex]\frac{112}{11}[/tex]

What’s the answer pls

Answers

Answer:

25%

Step-by-step explanation:

On Saturday, Ms. Rivera went to the store with $50. She needed to get clothes for the gym. She bought 5 pairs of socks for $3 dollars each, then paid $25 for shorts. Thankfully, Ms. Rivera had a coupon for half off everything! How much money did Ms. Rivera go home with?

Answers

Answer:

20

Step-by-step explanation:

She bought 5 pairs of socks which are 3 dollars each

(5 times 3 = 15 )

With the 25 dollar shorts

( 25 + 15 = 40 )

with a coupon of half off

( 40 divided by 2 = 20)

No the answer is 15 she got half ofF EVERTHING so that means half the socks and the shorts price so therefore the answer is. 15

2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)

Answers

Answer:

=2/3

Step-by-step explanation:

Emmanuel brews a full pot of coffee every morning. The pot makes 12 cups
of coffee in 4 minutes. How many cups of coffee does it make per minute?
O 3 minutes/cup
O 333 cups/minute
О O
3 cups/minute
O .333 minutes/cup

Answers

3 cups/minute

Explanation- 12/4=3

45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

   [tex]x = \sqrt{\frac{7}{2} }[/tex]

Step-by-step explanation:

Explanation

From given graph

          AC = √7

 Given angle ∝ = 45°

    [tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]

   [tex]cos45 = \frac{x}{\sqrt{7} }[/tex]

      [tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]

       [tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]

      [tex]x = \sqrt{\frac{7}{2} }[/tex]

     x = 1.8708

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 5.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

a car can drive 165 miles in 5 hours. how many yards can thee car travel in a hour

Answers

Answer:

33

Step-by-step explanation:

because 165 divided by 5 is 33 and if you add 33 5 times it gives you 165

Answer:

58080 Yards

Step-by-step explanation:

165/5 = 33 miles an hour

33 miles an hour ~ 58080 yards an hour

Im Ms.Barclay classroom 2/3 of the students play sodoku, 3/8 also play checkers. If there are 24 students in her class, how many play sodoku and checkers?

Answers

[tex]\frac{3}{8}(24)=\boxed{9}[/tex]

A total of 6 students play sudoku and checkers both.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Number of students = 24

Fraction who plays checkers = 2/3

So,

⇒ 2/3 × 24 = 16 students.

Now,

3/8 fraction of students(out of this 16) also play sudoku

So,

3/8 × 16 = 6 students.

Hence "A total of 6 students play sudoku and checkers both".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

The given question is incorrect,the correct question is ;

In Mr. Barclay's classroom, 2/3  of the students play checkers. Of the students who play checkers 3/8,  also play sudoku. If there are 24 students in his class, how many play checkers and sudoku? There is/are a student(s) who play both checkers and sudoku

The order of transformations in a sequence matters; reversing the order will not necessarily give the same image. Is this statement True of False?

Answers

Answer:

False

If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation

a boat travels upstream for 108 miles in 4 hours, and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water, and what is the rate in the current?

Answers

Answer:

Rate in still water = 27 mph

Rate in the current =36 mph

Step-by-step explanation:

The rate is the speed the boat use to travel in the water

The distance travelled upstream = 108 miles

The time taken to travel upstream = 4 hours

The rate in still water /upstream = 108/4 = 27 mph

The rate in the current /downstream = 108/3 =36 mph

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Answers

Answer:

A) t(x)=948(0.955)^x

Step-by-step explanation:

The key term here is decreases by. This means there's going to be exponential decay. The exponential decay factor, r, in this case, will be r=1-0.045=0.955 and we also know this is exponential decay because r<1. The only possible option that works is A because when x=0 the result should be $948 because only 0 years have passed!

HELP PLEASE ASAP!!!!!!!

Answers

Third one
No because it has a constant rate of change

Five units to the right of -6

Answers

Answer: -1

Step-by-step explanation:

The stem-and-leaf display below gives the fuel efficiencies (in miles per gallon) for a sample of new cars. Use the display to answer the questions that follow.
Fuel efficiency (miles per gallon)
1 3
2 3 9
3 1 1 6 7
4 3 4 5 6
5 1 3 3 8
Key: 1/3 means a fuel efficiency of 13 miles per gallon.
A) What is the lowest fuel efficiency in the 30 0s?
B) What is the lowest fuel efficiency in the sample overall?
C) How many cars in the sample have fuel efficiencies in the 40s?

Answers

Answer:31

Step-by-step explanation:

59=64

(a) The lowest fuel efficiency in 30's is 31

(b) The lowest fuel efficiency in the overall sample is 13

(c) There are 4 cars in the sample that have fuel efficiencies in 40's

Given :

Stem and leaf display of data

Fuel efficiency (miles per gallon)

1    3

2    3 9

3    1 1 6 7

4    3 4 5 6

5    1 3 3 8

Explanation :

(A) We need to find the lowest fuel efficiency in 30's

So we look at the data's in third row

It shows the fuel efficiency of 31,31,36,37 miles per gallon

The lowest fuel efficiency in 30's is 31

(B) Lets write the fuel efficiency from the given table

13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58

The lowest fuel efficiency in the overall sample is 13

(C) Lets write the fuel efficiency of 40's

43, 44, 45, 46

So, there are 4 cars in the sample that have fuel efficiencies in 40's

Learn more : brainly.com/question/19228281

identify the quadrant that the following points are located at: A (-4 , 3) B (-5 , - 5) C (2, 8) D (8, -9) E (0,8) F (7,0)​

Answers

Answer:

a. quadrant II

b. quadrant III

c. quadrant I

d. quadrant IV

e. y axis

f. x axis

Step-by-step explanation:

Given that 9x–4y = 20. Find y when x= -2

Answers

9x-4y=20
9(-2)-4y=20
-18-4y=20
-4y=20+18
-4y=38
Y= -9.5

Diego scored nine points less than Andre in the basketball team Noah scored twice as many points as Diego if Noah scored 10 points how many ponts did Andre score​

Answers

Answer:

1..........................

Answer:

Andre scored 14 points.

Step-by-step explanation:

set up expressions with the info given:

Diego's points: a –9

Andre's points: 2d. and

n = 2d

Noah's points = 10

Use the expressions to set up equations to solve.

To find a, Andre's points, we can work backwards.

Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:

10 = 2d. Divide both sides by 2

5 = d

Substitute the value of d, Diego's points, to make an equation using the first expression:

5 = a 9 Add 9 to both sides.

5 + 9 = a a = 14

Andre scored 14 points

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

The area of my back yard is 56sq feet the width of my backyard is 7 feet what is the length ?

Answers

The answer is 7x8 is 56

Answer:

8 feet

Step-by-step explanation:

56/7= 8. hope this helps!

an area of 6 yards is equal to 54 square feet. 9 square yards is equal to how many square feet? explain or show your reasoning

Answers

Answer:

81 squared feet

Step-by-step explanation:

A new ice skating rink will be approximately rectangular in shape and will have an area of 19,720 square feet. Using an equation for the perimeter P, of the skating rink in terms of its width W, what are the dimensions of the skating rink if the perimeter is 634 feet?


The dimensions of the rink are ? feet by ? feet.

Answers

Answer:

The dimension is: 232ft by 85ft

Step-by-step explanation:

Given

Shape: Rectangle

[tex]A = 19720[/tex] --- Area

[tex]P = 634[/tex] --- Perimeter

Required

Determine the dimension

Area is calculated as:

[tex]A = L * W[/tex]

This gives

[tex]19720 = L * W[/tex]

Perimeter is calculated as:

[tex]P = 2(L + W)[/tex]

This gives

[tex]634 = 2(L + W)[/tex]

Divide both sides by 2

[tex]317 = L + W[/tex]

Make L the subject

[tex]L = 317 -W[/tex]

Substitute 317 - W for L in [tex]19720 = L * W[/tex]

[tex]19720 = (317 - W)*W[/tex]

Open brackets

[tex]19720 = 317W - W^2[/tex]

Rewrite as:

[tex]W^2 - 317W + 19720 = 0[/tex]

Expand

[tex]W^2 -232W - 85W + 19720 = 0[/tex]

Factorize:

[tex]W(W -232) - 85(W - 232)= 0[/tex]

[tex](W - 85) (W - 232)= 0[/tex]

Split

[tex]W = 85\ or\ W = 232[/tex]

Recall that:

[tex]L = 317 -W[/tex]

[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]

[tex]L= 232\ or\ L = 85[/tex]

Hence, the dimension is: 232ft by 85ft

The dimension of the  rectangular rink is 85ft by 232ft

Perimeter and Areas of triangle

Given the following parameters

Area = 19,720 square feet.Perimeter = 634 feet

The formula for finding the area is:

A = lw

lw = 19,720

l = 19,720/w

If the perimeter is 634 feet

2(l+w) = 634

2(19,720/w + w) = 634

39,440/w + 2w = 634

39,440 + 2w^2 = 634w

2w^2 - 634w + 39,440 = 0

On factorizing, w=85 or w=232

Since l = 19,720/w

l = 19,720/232

l = 85

Hence the dimension of the  rectangular rink is 85ft by 232ft

Learn more on area of triangle here: https://brainly.com/question/17335144

A U.S. Senator from Indiana wanted to know what all her constituents thought about the Clean Air Act that was coming up for a vote in the Senate. She sent a letter to a sample of 257 Indiana voters asking them if they supported the Clean Air Act even if it meant they would have to pay higher prices for gasoline. The results indicated that 39% of the sample supported the Clean Air Act, even if it meant higher gasoline prices. The sample of Indiana voters was intended to represent all Indiana voters; therefore, the value of 39% would be called __________.

Answers

Answer:

The value of 39% would be called parameter.

Step-by-step explanation:

When a percentage refers to a sample, it is called a statistic.

When it refers to a population, it is called a parameter.

The sample of Indiana voters was intended to represent all Indiana voters;

This means that the percentage will be used with the following meaning:

"39% of all Indiana voters ..."

That is, referring to the entire population(in this case, all Indiana voters), so would be a parameter.

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4^4= pls i need some help Pretend your friend is struggling to solve equations and has asked you for help.Describe how you would solve the equation below for y: 5(3y - 2) + 6y = 11 HELP HE if your good at English pls Ill mark brainliest Read the excerpt from stanzas 3 and 4 of "The Turtle.It isnt even hers but came to herin the rain or the soft wind,which is a gate through which her life keeps walking.She cant seeherself apart from the rest of the worldor the world from what she must doevery spring.Crawling up the high hill,luminous under the sand that has packed against her skin,she doesnt dreamhurry 100 points Based on what is happening in this part of the poem, the repeated "s sound most likely relates tothe natural flow of the turtles actions.the turtles difficulty building a nest.how the turtle views the seasons.how the sand feels to the turtle. heyy I just need u to reset the prob but with the answer also tell me the answer and thxWhat is x-12 > 8 ? D 7. What are two different ways to name the line below? Explain how you know Anthony has 46 pieces of gum and eats 2 pieces per day. Javier has 54 pieces of gum and eats 3 pieces of gum each day. In how many days will Anthony and Javier have the same amount of gum? write a short reflection of the project on Numbres of Climate change. What was difficult, what was easy? Do you feel like you learned anything? What is the tone or overall feeling the poem conveys? Ivan started the week on page 35 of his book and read 20 pages each night. What page will Ivan be on if he reads for 12 nights? pls help asap 10 pointsHow many common tangent lines can you draw for to the two circles above?0123 the value of a car is 30,000$ it loses 6.5% of its value each year. What will the value of the car be after 5 years John and Lucy take turns rolling two dice. If John rolls a pair larger than or equal to 10 he wins and the game stops. If Lucy rolls a pair strictly smaller than 10, she wins and the game stops. They keep rolling in turn until one of them wins. Suppose John rolls first. What is the probability that Lucy wins How much force is needed to accelerate a 65 kg rider AND her 215 kg motor scooter 8 m/s?? (treatthe masses as like terms) Based on the indirect characterization in this stanza, which word best describes the narrator?caringpoliteproudgentle Can you help me?? I dont understand please help ExamWhich of the following describesAmerica's economic status in thefirst half of the 1920s?A. A time of loss.B. A time of stagnation.C. A time of recession.D. A time of prosperity.Copyright 2003 - 2021 Acellus Corporation. All Rights Reserved. Que comi la familia para el almuerzo en ese da laboral What is the interval? Which equation represents a line with a slope of -8 anda y-intercept of 4?y = -8x4y = - 4x +8y = -8x4y = 8x+4