1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yulyashka [42]
4 years ago
11

Given that g(x) = x^5 - 5x^4 + 10x^3 - 10x^2 + 5x - 1, find g^-1(x).

Mathematics
1 answer:
Ivan4 years ago
7 0
First Factor.

(x-1)^5 = x^5 -5x^4+10x^3 -10x^2+5x-1

g(x) = y = (x-1)^5

Find inverse by solving for 'x'

x-1 = y^{1/5} \\  \\ x = y^{1/5} +1 \\  \\ g^{-1} (x) = x^{1/5} + 1
You might be interested in
A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point
Mashutka [201]

Answer:

<em>The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m</em>

Step-by-step explanation:

<u>Constant Velocity Motion</u>

A bun has a velocity of 20 m/s towards the east. It means it travels 20 meters each second in that direction. Assuming the east direction is positive, the distance traveled by this bus can be calculated as follows:

X1=20*t

Where t is the time in seconds.

Similarly, the distance traveled by the second bus towards the west is:

X2=-15*t

Note the negative sign because the direction points at the negative reference.

After 2 minutes = 120 seconds have passed, the distance of each bus is

X1= 20*120=2,400 m

X2=-15*120 = 1,800 m

They are separated by 2,400-(-1,800) = 4,200 m

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

6 0
3 years ago
What is 5/6 divided by-2/3
liraira [26]

Answer: -5/4


Step-by-step explanation:

Apply the fraction rule: a/-b = -a/b

-5/6/2/3

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

Divide fractions: a/b/c/d = a x d/ b x c

-5 x 3 / 6 x 2

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

Multiply the numbers: 6 x 2 = 12

-5 x 3 / 12

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

Multiply the numbers: 5 x 3 = 15

-15/12

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

Cancel the common factor.3

-5/4

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

Sorry if this is a little confusing but your answer to the question is ( -5/4 )

3 0
4 years ago
17. Solve for p in the equation 7p = –63.
never [62]
It’s A

Explanation / when you multiply 7 by -9 you get -63
5 0
3 years ago
Read 2 more answers
Write each Percent as a decimal and as a mixed number or fraction in simplest form
sveticcg [70]

p\%=\dfrac{p}{100}\\\\225\%=\dfrac{225}{100}=2\dfrac{25}{100}=2.25=2\dfrac{1}{4}\\\\550\%=\dfrac{550}{100}=\dfrac{55}{10}=5\dfrac{5}{10}=5.5=5\dfrac{1}{2}\\\\0.8\%=\dfrac{0.8}{100}=\dfrac{0.8\cdot10}{100\cdot10}=\dfrac{8}{1,000}=0.008=\dfrac{1}{125}\\\\0.06\%=\dfrac{0.06}{100}=\dfrac{0.06\cdot100}{100\cdot100}=\dfrac{6}{10,000}=0.0006=\dfrac{3}{5,000}

6 0
3 years ago
It is given that D is inversely proportional to v m
Darina [25.2K]

Answer:

Step-by-step explanation:

D=\frac{k}{\sqrt{m}}\\\\64=\frac{k}{\sqrt{9}}\\\\64=\frac{k}{3}\\\\ 64*3=k\\\\k=192\\a)D=\frac{192}{\sqrt{4}}\\\\=\frac{192}{2}\\\\D=96\\\\b)32=\frac{192}{\sqrt{m}}\\\\  32*\sqrt{m}=192\\\\\sqrt{m}=\frac{192}{32}=6\\\\m=36

8 0
3 years ago
Other questions:
  • Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens w
    14·2 answers
  • Four friends are splitting $360 equally. Complete the equation to show which operation to use and how much money each person rec
    10·2 answers
  • suppose that during one period of extreme cold the average daily temp decreased 1 1/2 Fahrenheit each day how many days did it t
    14·1 answer
  • A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t
    12·2 answers
  • The equation of line XY is (y−3) = negative 2 over 3(x − 4). What is the slope of a line perpendicular to XY?
    13·1 answer
  • Santos wants to know what percentage of people who get married in his county knew each other in school. Which of the following s
    13·1 answer
  • A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how
    6·2 answers
  • James has 883 feet of rope. There are 13 teams of hikers.
    14·1 answer
  • Pls answer asap!!!!!!
    7·1 answer
  • Which values of m and b will create a system of equations with no solution? Select two options.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!