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

What equation in slope intercept form represents the line that passes through the two points?

(2, 5), (7, –1)

Answers

Answer:

y = -3/2 + 8 and/or 3x + 2y = 16

Step-by-step explanation:

(x,y) is helpful to remember

*I believe I'm correct, but I would recommend a quick double-check

Find the missing side length

Answers

Option c hope this helps

x + y > -3
how do I find the ordered pair and a solution to this inequality ​

Answers

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

Luke wants to reduce the area of his rectangular garden by one-fourth. The expression 1/4 lw can be used to represent this change. What is another way to write this expression?

Answers

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

Michael wants to earn more than $42 trimming trees. He charges $8 per hour and pays $6 in equipment fees. What are the possible numbers of hours Michael could trim trees? Use t for the number of hours. Write your answer as an inequality solved for t.​

Answers

5 hours because if you do 42 divided by 8 you get it so it would be
5tx8=42

If p=1/3 what is 12p

Answers

Step-by-step explanation:

Given

[tex] p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4[/tex]

Hope it will help :)

Answer:

4

Step-by-step explanation:

as p = 1/3

12p = 12×*(1/3) [because p =1/3]

= 12/3

= 4

Simplify 2(x + 6) - 8

Answers

Answer:

2x+4

Step-by-step explanation:

please give me a brainliest!!

Answer:

2x + 4

Step-by-step explanation:

2(x + 6) - 8

Distribute

2(x) = 2x

2(6) = 12

2x + 12 - 8

Subtract 12 - 8

12 - 8 = 4

So 2x + 3 is your final answer.

Write the function for the graph.

Answers

Answer:

the answer is B

Step-by-step explanation:

HELP!!!What is the length of BC in the right triangle below

Answers

Answer: 39

Step-by-step explanation:

Answer:

D. 39

Explanation:

you use the pythagorean theorem which is [tex]a^{2}+b^{2} = c^{2}[/tex]

if you look at the triangle we can see that we have to find the length of the hypotenuse (BC).

so your equation will look like this:  

         [tex]15^{2} + 36^{2} =c^{2}[/tex]

Solving For The Length Of BC

1. [tex]15^{2} + 36^{2} =c^{2}.[/tex]      (solve for [tex]15^{2} and 36 ^{2}[/tex])

2. C= 225+1296      (add)

3.  C= 1521               (find the square root of 1521)

4. [tex]\sqrt{1521} = 39[/tex]

Therefore, 39 is your answer

Hope this helps!

Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equation can be used to find the number of liters of each solution the should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.

Answers

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters

To stay within your budget,the area of the house and the garage combined is at most 3000 square feet.The area of the garage is 528 square feet.Write and slove an inequality that represents the area of the house. write the inequality, do not simplify. Let h=area of the house simplify the inequality

Answers

Answer:

h ≤ 3000 ft² - 528 ft²

h ≤ 2472 ft²

Step-by-step explanation:

Area of house and garage is at most 3000 ft²

Area of garage = 528 ft²

Area of house (h) =?

Area of garage + Area of house ≤ 3000 ft²

528 ft² + h ≤ 3000 ft²

h ≤ 3000 ft² - 528 ft²

h ≤ 2472 ft²

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.

Please help I will give brainly as long as you tell me how to do it
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

The answer is Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.

Simple question for everyone
What shape figure is this? ​

Answers

Answer:

It's a parallelogram

Answer: Rhombus or a Parallelogram

What is the solution of the system of equations shown in the graph below?

Answers

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax

Answers

Answer:

$275.562

Step-by-step explanation:

Step 1

Find the discounted price

Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.

Discount = $315 × 19%

= $59.85

Discounted price = $315 - $59.85

= $255.15

Step 2

Sale Tax

She had to pay an 8% sales tax on the amount she actually paid for the bike

Hence:

$255.15 × 8%

Sale Tax = $20.412

Step 3

The total cost of the bike including tax is calculated as:

$255.15 + $20.412

= $275.562

Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
oval at 5 km/h. If it takes her 30 minutes in total, how long in metres is each lap?

Answers

This is the answer to your question

The length of a rectangle is represented by 4x+6. The width is half the length. What expression represents the perimeter of the rectangle?

Answers

Answer: P = 12x + 18

Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.

2L = 2(4x +6)2W = 4x +6 (if the width is equal to half the length, twice the width is equal to the length).P = 2L + 2WP = 2(4x + 6) + 4x + 6 (substitute for L and W)P = 8x + 12 + 4x + 6 (distribute)P = 12x + 18 (combine like terms)

9 divided by 2/3 - 7/12

answer quick pls
!!!

Answers

solution:
12.9166666667

Find the Values of y
Y ² = 169

Answers

Answer:

Y= 13,-13

Step-by-step explanation:

please write an equation for this problem to represent the relationship between the submarines elevation and time.
A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent.

Answers

Answer:

I can see if one of my friends can help

Answer:

a?

Step-by-step explanation:

No no BBB

Which inequality is true

Answers

Answer:

number 2 I'm pretty sure but wait for another answer jsut to double check

Answer:

I think the 2nd one, -2¾ < -1½, as for -1½ is bigger than -2¾.

Which is a graph of the solution of the inequality -5m+10>70

Answers

Answer:

solving form; m< -12  

Step-by-step explanation:

On a linear graph there would be an open circle on the number -12 and the line would be pointing left

One solution to a quadratic equation is x = -2i
What is the other solution?

Answers

I believe it would be x=2i

:)

Please hurry!

What is the rate of change of the function shown on the graph? Round to the nearest tenth.

A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50​

Answers

Answer:

B

Step-by-step explanation:

HELP NEEDED HELP NEEDED!

Answers

I think it is j but I do not now

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

1.5 × 2.5 = 3.75 ft

Area of second rectangle:

1.5 × 2.5 = 3.75 ft

Area of triangle:

1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125

Put them together:

3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]  

I hope this helps!

A stationer purchased 5 dozen of pens at
Rs 25 per price and sold 24 per piea
() Find his loss
() Find
his loss percent.​

Answers

Answer:

CP = 25

SP = 24

Loss = CP - SP

=> 1

Loss% => Loss × 100/25

=> 1×4

=> 4% Loss

write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a​

Answers

Hi there is this 0pp called Math-way that will help

Answer this please will give brainliest

Answers

Answer:

answer is 4

Step-by-step explanation:

Answer:

I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help

Step-by-step explanation:

the digit in the 6 in which number represents a value of

choose 1 answer:
A.5,716
B.186,200
C.644​

Answers

Answer:

down below

Step-by-step explanation:

we dont know what the number is

The answer is A. The 6 in 5716 is in the ones place, if it were in any other place it would represent 60, 600, or 6000. Therefore, the answer is A.
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