Which function is the inverse of g(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?

Which Function Is The Inverse Of G(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?

Answers

Answer 1

Answer:

third option

Step-by-step explanation:

let g(x)=y

(x-1)³/2-3=y

(x-1)³/2-3/1=y

(x-1)³-6/2=y

(x-1)³-6=2y

(x-1)³=2y+6(find cubic root of both sides)

(x-1)=³√(2y+6)

x=³√(2y+6)+1

Replace y with g for the inverse

g^-1(x)=³√(2x+6)+1


Related Questions

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?

Answers

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = b

i need two more , i got 1

Answers

Answer:

X=12,-4

Step-by-step explanation:

Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4

1) Click on the measurement that is equal to 24 kilograms.
+) 240 grams
2,400 grams
24,000 grams
240,000 grams

Answers

Answer:

24,000

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

Every kilogram is 1,000 grams

Solve for n.



-53 + n = -28

A. -35
B. 25
C. -25
D. 35

Answers

Answer:

B. 25

Just use Photomath in those questions

Answer:

B) N=25

Step-by-step explanation:

the distance between -53 and -28 is positive 25

Y+4=-6(x+6) what is the answer

Answers

Answer:

y+4+−4=−6x−36+−4

y=−6x−40

y=−6x−40

slope is -6

y intercept is -40

Answer:

y = -6x - 40

in standard form its:

y + 6x = -40

Step-by-step explanation:

Am I the only one here that is having a huge problem with Geometry?

Answers

Answer:

18y+30y+14y+150°+142=540

62y+292=540

subtract 292 from both sides

62y= 248

divide 62

y=4°

math test, ill mark brainliest if correct !

Answers

I don't know the second one sorry but the first one is 92. Plug -4 in for x and you get 92

Answer:

f(-4) = 3×(-4×-4) - 10 ×(-4) + 4

= 3×16 + 40 + 4

= 48 + 44

= 92

Find the y intercept of the graph

Answers

Answer:

i believe the y intersept is -4

PLSSSSSSSSSS URGENT I NEED HELP!!!
The diagram shows the graph of y = ax + b. Find the values of a and b *

Answers

Answer:

The values of a and b are:

a = 2b = 2

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = ax+b

where

a is the slopeb is the y-intercept

From the diagram of the line graph, we can fetch the two points

(0, 2)(-1, 0)

Determining the slope between (0, 2) and (-1, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]

[tex]a=\frac{0-2}{-1-0}[/tex]

[tex]a=2[/tex]

Thus, the value of a = 2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting a = 2 and b = 2 in the slope-intercept form of the line equation

y = ax+b

y = 2x + 2         ∵ a = 2 , b = 2

Thus, the line of equation is:

y = 2x+2

now comparing with y = ax+b

Here:

a = 2

b = 2

Therefore, the values of a and b are:

a = 2b = 2

For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.

Answers

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

-1+-6=-7

Step-by-step explanation:

Answer:

-1 + (-6) = -7

Step-by-step explanation:

Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?

Answers

Answer: 20 tickets

Step-by-step explanation:

From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:

= 75 - 15

= 60 tickets

The number of tickets sold by Kelly each year on average will be:

= Number of tickets sold / Number of years.

= 60/3.

= 20 tickets

over the last 3 years

Part ?? of i need these

Answers

the answer is
R = 74
Q = 32
:)

Answer:

You already have the answer so ima just get the points

Have a good night

Are these correct?? I need help quick!!!

Answers

Answer:

No, it is A for the first question and C for the last one

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1/9= .111111111111 repeating

Consider this quadratic equation:
2x2+1x+3=0
Comparing it to the standard form, name a, b, and c
a=
b=
C=

Answers

Explanation: The value for a comes from the coefficient

on the x² term which in this case is 2 so we say that a = 2.

The value for b comes from the coefficient on the x term

which in this case is 1 so we say that b = 1.

The value for c comes from the constant term

which in this case is 3 so we say that c = 3.

please answer tysmmmmmmmmm

Answers

I believe it is D ndsosje

60 points! Will mark brainliest! I only want the correct answer please. Random answers will be reported

Answers

y = 1/2x + 8

For a line to be parallel, it must have the same gradient/slope.

Answer:

First Option: y = 1/2x + 8

Step-by-step explanation:

for lines to be parallel they must have the same slopes

HELP PLEASE I WILL MARK BRAINLIEST

Answers

The answer. Is. 2 and. 1/2

I need the angle of elevation

Answers

Answer:

multiply and see what you get

9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.
14 -
10. If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.
11. If y varies directly with x and y = -6 when x = 2, find the constant of variation.

please help
i will give brainliest

Answers

9)

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y =  -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

k = -3

Which equation describes the line with slope 5 that contains the point (-2,4)?
A. y= 5x +4
B. y = 5x-22
C. y - 5x + 14
D. y = 5x-2

Answers

Answer:

C. y=5x+14

Step-by-step explanation:

Solve using this formula: y=mx+b

4 = (5) (-2) + b

4 = -10 + b

+10  +10

14 = b

Then you will plug in what you found for b in:

y=5x+14

what is x?
-5 (x - 1) = 40

Answers

Answer:

x=  -7

Step-by-step explanation:

have a good day

Step-by-step explanation:

- 5 (x - 1) = 40(Multiply -5 by the values in the bracket)

-5x + 5 = 40(Subtract 5 on both sides)

-5x = 40 - 5

-5x = 35 (Divide both sides by -5)

x=-7

For A and B, use the indicated operations to find the answer

Answers

Step-by-step explanation:

Your question is not well understood

Tameka pilots a hot air balloon. She lowers the balloon
five times, going down an equal distance each time. In
all, Tameka lowers the balloon 75 m.
What integer represents the change in the hot air
balloon’s elevation each time Tameka lowers it?
What does this integer tell you?

Answers

Answer:

15 m

Step-by-step explanation:

Given that :

Change in distance is the same each time Ballon is lowered ;

Number of times Ballon is lowered = 5 times ;

Total change in distance = 75 m

Change in distance per time lowered equals ;

(Total change in elevation / Numbe rof times Ballon is lowered)

75m / 5

= 15 m

Hence, Ballon height changes by 15 m each time it is lowered.

The integer gives the lowering rate.

Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more
than Amari, and DJ collected $15.60 less than Kobe.
If x = the amount raised by Amari, choose the expressions that represent the amount
each other player raised.

Answers

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

Your mother takes you to your grandparents' house for dinner. She drives 60
minutes at a constant speed of 40 miles per hour. She reaches the highway,
quickly speeds up, and drives for another 30 minutes at constant speed of 70
miles per hour. How far did you and your mother travel altogether?
Your answer

Answers

Answer:

75 Miles

Step-by-step explanation:

* URGENT * Given f(x) = 6(2-x), what is the value of f(-8)?
open ended question​

Answers

Answer:

f(-8) = 60

Step-by-step explanation:

When we are given a function in this format, we substitute the x value in the equation. F(x) is simply another way of saying y.

if x = -8

6 (2 - -8)

6(10)

60

f(-8) = 60

What is the difference between a service charge and a finance charge?
A) A service charge is a fee which must paid every month, while a finance charge is a one-time fee assessed at the beginning or end of a loan period.
B) A service charge is a flat fee charged to a borrower, while a finance charge is a fee charged to a borrower based on the amount borrowed.
C) A service charge is a fee assessed by a lender, while a finance charge is a fee charged by a financial institution, such as a bank.
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
Please EXPLAIN work in detail, Thank You!

Answers

Answer:d

Step-by-step explanation: because that’s the answer

D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.

According to accounting and finance terminology, the finance charge is the total fees that you pay to borrow the money in question. This means that the finance charge includes the interest and other fees that you pay in addition to paying back the loan.

Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1

Answers

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2

what is the area of this circle pls help

Answers

Answer:

answer is 113.04 [tex]cm^{2}[/tex]

Step-by-step explanation:

the bottom one on the right
Other Questions
15.At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists rates.northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/hnorthbound bicyclist = 18 km/h; southbound bicyclist = 14 km/hnorthbound bicyclist = 18 km/h; southbound bicyclist = 13 km/hnorthbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h need answer fast!Find the product of ( 2x^2 4x + 3 ) ( 3x + 6 ) using the box method shown below. What will the monomial be in the box marked with a B?Select one:a. - 12x 2 b. - x 2c. - xd. - 12x Learning task 2: Using the information you gathered from Learning Task 1, make a concept web of the contributions of the following scientist in the DEVELOPMENT OF MAGNETIC THEORYA. Andre- Marie AmpereB. Michael FaradayC. Heinrich HertsD. James Clerk MaxwellE. Hans Christian Oersted Overheating of the economy meansoutput is occurring at an unsustainably high level, at which the unemployment rate is lower than the natural rate of unemployment.Select one:a. The business cycle curve is below the growth trend, the economy is experiencing a negative output gap.b. The business cycle will reach a peak and enter a recession.c. None of the aboved. The business cycle will reach a troughand enter a recovery= The business cycle will reach a peak and enter a recession. The treaty of guadalupe On cold days Leah likes to make hot cocoa. She uses 8 tablespoons of cocoa and 2 tablespoons of sugar. Leah doubles the recipe when her cousin Vinney visits. What is the doubled recipe? How did confidence impact the presidential election of 1980?A. Many Americans felt that while Reagan was confident, Carter was not.B. Many Americans felt that while Carter was confident, Reagan was not.C. Many Americans were confident that President Carter would turn the economy around.D. Many Americans were confident that Reagan would establish more government programs. What does a number in front of a molecular formula stand for??????? Investors buy a studio apartment for $240,000. Of this amount, they have a down payment of $60,000. Their down payment is what percent of the purchase price? Which sentence below has correct capitalization? A. Mom and my sister Judy haven't decided yet. B. Mom and my Sister Judy haven't decided yet. C. Mom and My Sister Judy haven't decided yet. D. Mom and my sister judy haven't decided yet. Identify the property that justifies the following statement 1. Distributive Property of Congruence 2. Symmetric Property of Congruence3. Reflexive Property of Congruence4. Transitive Property of Congruence give the other person branliest How many moles are in 8.63 x 103 atoms of Li? Need your help, if you could help thanks! Suzanne is in the process of archiving her entire library of printed photographs on cloud storage. After which step of the process should she save the first copies of her files?reducing file sizes of the photosediting the scanned photosstoring the photos on a hard diskscanning the original photos Please quickly answers thus Two regular hexagons are similar. The perimeters have a ratio of 1:5. If the side of the larger hexagon has a length of 25 inches, what is the perimeter of the smaller hexagon? A drop in water temperature is observed when 0.848 g of ammonium nitrate is added. The enthalpy change for this reaction is +0.117 kJ. Calculate the Hrxn, in kJ/mol, for this reaction. Calculate the value of the expression 18/-3Select one:A. 6B. -6C. -4D. 0.167E. -0.167 What is the value of f(3) f ( 3 ) for the function f(x)=4x1