Given f(x)=(2x+1)^3. Find f^−1(x). (inverse)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]


Related Questions

Which function is represented by the graph below?

Answers

Answer:

I believe it's an exponential parent function

Step-by-step explanation:

The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.

Answers

Answer:

None of these choices are correct.

Step-by-step explanation:

75 = perimeter

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

Which one describes the algebraic expression for the phrase, "the sum of a number and its square"?
n + n2
n + 2
2n
n + 2n

Answers

The answer is n + n^2
the first one.
the sum of the number and its square is basically saying add one number to itself swuare rooted. number represented as 'n', is shown twice in the equation because its being added to itself. then throw the square on to it and get the first one as your answer.
please give me brainliest im so close to the bext rank

help me please I need help to my question
[tex] \sqrt{50} + \sqrt[]{18} - 8 \sqrt[]{2} [/tex]

Answers

Answer:

[tex] \sqrt{50} + \sqrt{18} - 8 \sqrt{2} \\ \\ 5 \sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} \\ \\ 8 \sqrt{2} - 8 \sqrt{2 } \\ \\ = 0[/tex]

Given the expression:

[tex] \displaystyle \large{ \sqrt{50} + \sqrt{18} - 8 \sqrt{2} }[/tex]

Since we have 2 in the square root from 8√2. We will be converting terms in √2 form so we can. evaluate.

As we know, 50 comes from 5×10 = 5×5×2

and 18 comes from 9×2 = 3×3×2.

[tex] \displaystyle \large{ \sqrt{5 \times 5 \times 2} + \sqrt{3 \times 3 \times 2} - 8 \sqrt{2} }[/tex]

In the square root, if there are two same numbers, we can pull it out as one.

Ex. √5×5 would be 5. Refer to below:

[tex] \displaystyle \large{ \sqrt{a \times a} = \sqrt{ {a}^{2} } = |a| }[/tex]

Since there are two fives and two threes in the square root, we pull these numbers out only one.

[tex] \displaystyle \large{ 5\sqrt{2} + 3 \sqrt{2} - 8 \sqrt{2} }[/tex]

Because these terms have the same square root of 2, we can evaluate 5+3-8.

[tex] \displaystyle \large{ 8 \sqrt{2} - 8 \sqrt{2} } = 0[/tex]

Of course, like term - like term = 0

Hence, the answer is 0.

Convert 9.500 to a fraction

Answers

Answer:

Step-by-step explanation:

9.500 x 1000

1 x 1000

=  

9500/ 1000

next

9500/500

----------------

1000/500

=  

19/ 2

so 19/2 is the answer

Step-by-step explanation:

Permit me to re-write it as 9.5/1

so, multiply both the numerator and the denominator by 10 to clear the decimal

then we have,

95/10

divide both the numerator and the denominator by 5

we have,

19/2

converting to proper fraction the answer is,

8. Find the common factors of 75,100 and 60​

Answers

stick with 60

start trying 1 to 10

then

10, 20, 30, 40, 50, 60

1 , 2 , 4 , 5 , 10, 20, 40, 50

The answer is 5
5 in the only number that can divide into all 3 of the number without giving a remainder or being a decimal.
Hope this help, please give me brainliest:)

The side of a cube is 3^4 centimeters long. What is the volume of the cube?​

Answers

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Brody has a points card for a movie theater.
He receives 60 rewards points just for signing up.
He earns 12.5 points for each visit to the movie theater.
He needs at least 150 points for a free movie ticket.

What is the least number of visits he needs to make in order to earn a free movie ticket?

Answers

he needs AT LEAST 7 visits to earn a free movie ticket
reason: 150-60-12.5=77.5
just divide 12.5 into 77.5 and it gives you 6.2 so to be on the safe side id round up to 7. if it doesn’t give you that option then do 6.

Simplify.

184.10
x 16
-----------

Answers

Answer:

2945.6

Step-by-step explanation:

help if you can id appreciate it

Answers

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

If I started at 7:20 and ended at 8:07 how much times is that?

Answers

Answer:

47 minutes

Step-by-step explanation:

The answer would be 47 minutes

Kira has breakfast in a restaurant. She leaves $1.80 for a 20% tip. What is the price of Kira's breakfast, before the tip?

Answers

Answer:

percent* base = amount

.2 * x = 1.80

x = 1.80/.2

x= $9

Step-by-step explanation:

Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X

Answers

Answer: WX = 4

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

VX = 18

VW = 14

Given expression deducted from the segment addition postulate

WX = VX - VW

Substitute values into the expression

WX = 18 - 14

Simplify by subtraction

WX = 4

Hope this helps!! :)

Please let me know if you have any questions

What is 3(x-6)+12=6(x+1)-3x show your work.

Answers

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

krishna bought a mobile phone for Rs10,000 and sold it at Rs. 12,000. Find his grain or loss %​

Answers

Answer: The profit percent is 20%

Step-by-step explanation:

CP = Rs 10,000

SP = Rs 12,000

so

Profit% = (12,000-10,000)/10,000 * 100%

          = 2,000/10,000 * 100%

          = 1/5 * 100%

          = 20%

Answer:

2000 gain

Step-by-step explanation:

simplify 2 root 3 + 3 root 3 - 4 root 3​

Answers

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

If n(U)= 50, n(A)= 30, n(B) = 20 and n(AUB)= 45, find i) n(A) ii) n(B) ii) Express in Venn diagram​

Answers

hope it will help and plz ignore that circles .

1) Alice is a truck driver who drives the same route every day for 5 days. On the
last day she takes a detour that adds 17.3 miles to her daily mileage. At the end
of the 5 days, Alice has driven 927.8 miles. How many miles does Alice drive on
her regular route when there is no detour?

Answers

Answer:

Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

Step-by-step explanation:

First, we need to divide 927.8 miles by 5.

927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.

Since her detour added 17.3 miles to her daily mileage, we need to subtract this from her current daily mileage.

185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.

Now, in order to find her mileage for 5 days, we need to multiply this number by 5.

168.26 x 5 = 841.3

Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

Refer to the figure at the right to answer each question. 5. Are points H, J, K, and L coplanar? 6. Name three lines that intersect at X. 7. What points do plane WXYZ and HW have in common? 8. Are points W, X, and Y collinear? 9. List the possibilities for naming a line contained in plane WXKH​

Answers

Problem 5

Answer: Yes the points are coplanar

------------------------

Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

===========================================================

Problem 6

Answer: line segments WX, XY, and XK

------------------------

Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

===========================================================

Problem 7

Answer: point W

------------------------

Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

===========================================================

Problem 8

Answer: The points are not collinear

------------------------

Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

===========================================================

Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

can someone please accurately do this. if you just put anything, i will report and get my points back

Answers

DOE= 27
BOC= 36
COE= 54
AOF= 36
FOE= 90
BOA= 144

I made sure to double check them all for you too, so they should be right!

Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

Answers

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

step by step

6x+1<9-2x

2x-1 less than or equal to 5x+20

3-(2x-7) less than or equal to 34-6x

Answers

Answer:

6x+1<9-2x

6x+2x<9-1

8x<8

x<1

2x-1 ≤ 5x+20

2x-5x≤20+1

-3x≤21

x≥-7

3-(2x-7) ≤ 34-6x

3-2x+7 ≤ 34-6x

-2x+6x ≤ 34-3-7

4x ≤ 24

x ≤ 6

What is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?

A. 3
B. -2
C. 2.5
D. -3

Answers

Answer:

D. -3

Step-by-step explanation:

d = t2 - t1

d = -5 - (-2)

d = -3

Question
What is the measure of JKL?
A. 186°
B. 174
C. 87
D. 267

Answers

Answer: 174

Step-by-step explanation:

PLEASE HELP COMPARING RATIOS

Answers

Answer:

8 minutes per customer in Restaurant One.

6 minutes per customer in Restaurant Two.

7 minutes per customer in Restaurant Three.

Restaurant Two had the fastest service.

Method:

I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.

Answer

The 2nd restaurant is the fastest

Step-by-step explanation:

I. Compare Time per Customers

     When 1st restuarant = 48/6 = 9

                2nd restuarant = 42/7 = 6

                3rd restuarant = 63/9 = 7

Given if in 1 min, I can serve 20 customers = 1/20 = 0.05

             in 1 min, He can serve 10 customers = 1/10 = 0.1

      See the different? I can serve better than him.

So The answer is the 2nd restuarant.

Hope that help :D

How many gallons, quarts, and pints are in 72 cups (not all together)

Answers

Answer:

72 cups=4.5 gallons

72 cups=18 quarts

72 cups=36 pints

Step-by-step explanation:

To find out how many pints are in 72 cups you have to divide the volume value by 2. To find out how many quarts are in 72 cups you have to divide the volume value by 4. To find out how many gallons are in 72 cups you have to  divide the volume value by 16.

Hope this helped for you!

What is (x)
9.4x+17.5

Answers

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

Find the GCF of 8 and 12. WIll give brainliest for the best and most clear answer. :)

Answers

Answer:

GCF = 4

Step-by-step explanation:

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The greatest common factor is 4.

I hope this helps :).

Answer:

4

Step-by-step explanation:

8 = 2 * 2 * 2

12 = 2 * 2 * 3

Since 2 times 2 is common in both the numbers,

Greatest Common Factor = 2 * 2 = 4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Can someone plz help me?

Answers

Answer:

c

Step-by-step explanation:

[tex] \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} [/tex]

pls mark brainliest

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