g(x)=(x-1)^3-1 find the inverse of this function

Answers

Answer 1

Answer:

G^−1(x)=3√x+1+1      

Step-by-step explanation:

Answer 2

Answer:

[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1

Step-by-step explanation:

To find the inverse, swap x and y.

g(x)=(x-1)^3-1

-> x=(y-1)^3-1

Solve the equation in terms of y.

x=(y-1)^3-1

x+1=(y-1)^3

[tex]\sqrt[3]{x+1}[/tex]=y-1

[tex]\sqrt[3]{x+1}[/tex]+1=y


Related Questions

A garden swimming pool with a cuboidal shape is 8m long, 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it

Answers

8. 4m x 8m x 1.5m (150cm is equal to 1.5m) and minus by 40

Given: 8x - 3y= -21, 3x + y = -10; prove x= -3

Answers

8x-3y=-21
3x+y=-10

Substitute the value of y
8x-3y=-21
y=-10-3x

8x-3(-10-3x)=-21

x=-3

The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.

Answers

Answer:

1st , 2nd , and 4th

Step-by-step explanation:

Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?

Answers

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

1 gallon = 4 quarts
4 quarts = 8 pints
8 pints = 16 cups

So 1 gallon = 16 cups of water

(0, 6) and (2, 96) in exponential function

Answers

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?

Answers

The answer to that is 1/2

how does the graph of y=Vx+2 compare to the graph of the parent square root function

Answers

Option c since the equation shifts 2 units vertically up compared to parent square root function

Find the quotient. Use a model to help you divide

6
.
15
÷
5
=
A.
1.03

B.
1.23

C.
1.3

D.
1.2

Answers

Answer:

Step-by-step explanation:

6.15/5=1.23

The answer is B.

Given: \overline{AE} \parallel \overline{FD},

AE



FD

, \overline{BF} \parallel \overline{EC}

BF



EC

and \overline{AC} \cong \overline{BD}.

AC



BD

.


Prove: \triangle AEC \cong \triangle DFB△AEC≅△DFB.
needed 3 prove (angle/slide)

Answers

Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

I will give brainliest

Answers

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Please Help Im Doing A Test And Really Need The Answer!

Please no fake answer for points

Answers

Answer:

The last one (16+20+3+8)

Step-by-step explanation:

add up all the sides not including the 3 inside

Answer:

(16+20+3+8)

Step-by-step explanation:

The perimeter is the measurement on the outside of the shape.

so (3+16+20+8) = 47

Solve the system by substitution. x=-y-9 6x-5y=1

Answers

Answer:

x= -64, y= 55

Step-by-step explanation:

x=-y-9

6(y-9)-5y=1

6y-54-5y=1

y=55

x=-55-9

x=-64

Answer:

{x=-4

{x= -5

Step-by-step explanation:

Substitute into one of the equations:6(- y -9) - 5y=1

Apply Multiplicative Distribution Law:- 6y-54-5y=1

Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54

Combine like terms:- 11y= 1+54

Calculate the sum or difference:-11y=55

Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)

Remove the parentheses:y = -55÷11

Calculate the product or quotient:y=-5

Substitute into one of the equations:x=-(-5)-9

Remove the parentheses:x=5-9

Calculate the sum or difference:x=-4

The solution of the system is:{x=-4

{x=-5.

Which of the following is another way to express the difference between -5 and 8?
O-5+8
O-5-(-8)
O-5+(-8)
08-5

Answers

Answer: -5+8 because the difference (-) of -5 and 8 is 8 - (- 5) which can also be expressed as -5+8. All that matters is that 5 stays negative and 8 stays positive.

Which statement about perfect cubes is true?

a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3

Answers

☆Answer : a.) false B.) false c.) True d.) false

V = s^3 = 8^3 = 512cm^3 True.

Answer:

every answer:

A

B

B

B

B D E

A

C

C

C

D

Step-by-step explanation:

i got 100% on Edg

find the gcf and the distributive property to each sum.19,22

Answers

Answer:

50 is sum of gcf its couldn't of 19 is 20

I need 30 please thank you

Answers

Answer:

ok good morning

have a nice day

Step-by-step explanation:

#toxicsquad

Answer:

i think its 7, but you should probably check that...

Can someone please help me solve this please

Answers

Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

=> 2x = j(x) - 9

=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

If x = -7 and y = 2, evaluate the following expressions
i) (4y)² – (2x)²
ii) 4y² - 2x² ​

Answers

Answer:i)16y^2−4x^2

ii) i don't know the other one sorry

Step-by-step explanation:

Evaluate.

(−1/3+0.3(−1/3)+1)2

What is the value of the expression?

Enter your answer as a simplified fraction in the box.

Answers

Answer: 1.133333

Step-by-step explanation:

The value of the expression [tex]\frac{17}{15}[/tex] .

What is simplification?

Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. Fraction questions in mathematics frequently require lengthy calculations and complicated sums. Some pupils find it more challenging and require more time to solve. But don't worry—there is a solution for you in this article on math simplification. It will assist you in finding simple ways to simplify fractions. You'll discover what simplification is, how and where to simplify fractions, and the procedures involved in simplifying fractions in this article. Additionally, you'll learn the exact steps to take.

Here, do normal simplification using BODMAS rule.

Hence, the required value is [tex]\frac{17}{15}[/tex]

Learn more about simplification from given link

https://brainly.com/question/432678

#SPJ2



ASP please


What is the slope of the line on the graph

Answers

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])

[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]

[tex]\frac{6}{1}[/tex]

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?

Answers

About 92 days are taken for 90 % of the material to decay.

The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.

In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]

[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]

[tex]\tau \approx 39.963\,d[/tex]

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]

[tex]t\approx 92.018\,d[/tex]

About 92 days are taken for 90 % of the material to decay.

We kindly invite to check this question on half-life: https://brainly.com/question/24710827

Find the value of x and 3x.
x=
3x=

Answers

Answer:

Step-by-step explanation:

Sum of all the angles of the polygon = (n -2) *180  

                                                             = (6 - 2) * 180 = 4 *180 = 720

45 + 135 + 45 + 135 + x + 3x = 720

          360 + 4x = 720

                     4x = 720 - 360

                    4x = 360

                       x = 360/4

x = 90

3x = 3*90 = 270

Make n the subject of the formula
m = 5 n - 21

-----------------------------------------------------------
Can someone please help and explain!!
Incorrect or incomplete answers will be reported

Answers

Answer:

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

Step-by-step explanation:

To make "n" the subject of the formula, rearrange the formula so it begins with " n = "

To isolate the variable "n", you need to inverse the other terms on that side of the equation where "n" really is.

=> m = 5n - 21

there's a "-21" next to "5n", inverse of subtraction is addition, so add 21 on both sides of the equation.

=> m + 21 = 5n - 21 + 21

=> m+ 21 = 5n

There's also a 5 attached to n, that means the multiplication of n with 5, the inverse of multiplication is division, so dividing both sides of the equation by 5

[tex] \mathsf{ \frac{m + 21}{5} = n }[/tex]

A line's y-intercept is –9, and its slope is 1/6 .What is its equation in slope-intercept form?

Answers

Answer:

y = 1/6x - 9

Step-by-step explanation:

The slope-form intercept formula is y = mx + b

Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?

Can Someone Help me please

Answers

Answer:

As no graph is provided you can only solve it.Steps provided below

Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective values

Yes you have done it

Find each indicated length if A is the midpoint of XZ and B is the midpoint of YZ (please help asap!!)

Answers

Answer:

Step-by-step explanation:

We have to think that the median and the side is parallel to are one small and one big, and that the small one is half of that big one and that the big one is the small one doubled.

AB = 8 ( the small one ) then XY = 2* 8 = 16 ( the big one)

AB = 3 then  XY = 2* 3 = 6

AB = 2.5 then XY = 2*2.4 = 5

XY = 18 ( the big one)  then AB = 18/2 = 9 ( the small one)

XY = 4 then AB = 2/2 = 2

XY = 9 then AB = 9/2 = 4.5

hi,please explain your answer
have a nice day​

Answers

Answer:

What grade are you my brother is good at this stuff

can someone help please :)

Answers

The inequality is less than or equal to

Pls answer this and explain!

Answers

Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

How many arrangements can be made from the letters in the word PICCOLO

Answers

Answer:

1260

Step-by-step explanation:

This is a permutation of 7 letters with double O and double C:

7!/2!2! = 5040/4 = 1260
☆Answer :

P = 1

I = 1

C = 2

O = 2

L = 1

--------

Total (n) = 7(k) = 2(C), 2(O)

p = N! ÷ k!

p = 7! ÷ 2!2!

p = 5,040 ÷ 4

P = 1,260

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