f(x)=3x 3 inverse function

Answers

Answer 1

Step-by-step explanation:

if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.

the inverse function simply tries to calculate the original x it of the original y.

and then, to make it a formal function, we rename x to y and y to x.

y = 3x³

x³ = y/3

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

=> as "regular" function

[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]


Related Questions

Kala is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $ 79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?

Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer: 21 miles

Step-by-step explanation:

Calculate the unit rate for each. Don’t forget the units!

a) Andre DeGrasse runs 100m in 9.91 seconds.

b) Paint costs $48 for 3.8L.

c) Ethan earned $120.25 for working a 6.5h shift.

Answers

Answer:

letter c. po sagot diyan po

Answer:

a) Andre DeGrasse runs 100m in 9.91 seconds.

100 m / 9.91 s = 10.09 m per second

b) Paint costs $48 for 3.8L.

$48 / 3.8 L = $12.63 per L

c) Ethan earned $120.25 for working a 6.5h shift.

$120.25 / 6,5 h = $18.5 per hour

Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?




Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?









Rebecca had 9/10
of a yard of ribbon. Then she gave 7/20
of a yard to a friend. How much does she have left?

Answers

Answer:

[tex] \frac{9}{10} - \frac{7}{20} \\ \frac{9 \times 2}{10 \times 2} - \frac{7}{20} \\ \frac{18}{20} - \frac{7}{20} \\ \frac{18 - 7}{20} \\ \frac{11}{20} \\ 0.55[/tex]

Step-by-step explanation:

rabeeca has 0.55 ribbon left.

Answer:

11/20

Step-by-step explanation:

first you need to multiple 9/10 by 2/2 to get 18/20 and then 7/20 multipled by 1/1 and for the last step do 18-7 to get 11 so therefore the answer is 11/20

Write a equation in slope intercept form that is equivalent to 10x-2y=16

Answers

Answer:

y = 5x - 8

Step-by-step explanation:

10x -16 = 2y

y = 10/2x - 16/2

y = 5x - 8

An instrumental track has 17 beats in 14 seconds. What is its tempo in terms of beats per minute (BPM)?

Answers

Answer:

17x14=378

Step-by-step explanation:

all you have to do is multiply 17 * 14 and that's how you got your answer

List all the terms in the expression below 6X -10 Y +13 +5z

Answers

6x, 10y, 13, 5z is the answer because terms include coefficients, variables and constants.

What is the slope of the line in the graph?

On a coordinate plane, a line with negative slope goes through points (0, 1) and (4, negative 2).
Negative four-thirds
Negative three-fourths
Three-fourths
Four-thirds

Answers

Answer:

the slope for (0,1)(4,-2) is -3/4

Answer:

B. Negative three-fourths

Step-by-step explanation:

Emma buys 9 bottles of pineapple juice at the corner store for a total cost of $10.62.
Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of j that matches the context.

Answers

$1.18

Step by step explanation :

9c = 10.62

c = 10.62/9

c = 1.18

Question is in picture. Please help

Answers

Answer:

Step-by-step explanation:

441 km in 45s does

215 km in 25s doesnt

649 km in 110s doesnt

Ez or not? Help bros.

Answers

Answer:

11 ft

Step-by-step explanation:

if you write 14 to the power of 6
in expanded form, how many factors will there be?

Answers

There will be 49 factors I belive!

9514 1404 393

Answer:

  6

Step-by-step explanation:

The power is used to signify repeated multiplication in the same way a multiplier signifies repeated addition.

  14⁶ = 14×14×14×14×14×14

There are 6 factors of 14.

PLS ANSWER NOW GIVING BRAINLIEST TO FIRST PERSON TO ANSWER
Write 1,340 in scientific notation

Answers

Answer:

1.34 × 10^3 is the answer

Answer:

Ok

Step-by-step explanation:

Hi Please answer this for me ill thank u and rate I Need it asap Thank U :D

Answers

Answer:4) 1.  (3^4)^3=3^12    ,

                  2.(-10^3)^6=-10^18  others are similar...

              5) 1.  (2^7/2^5)=2^2,4  ,

                  2.(a^7/a^3)=a^4   ,

                  7.  [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3   others are similar...

Step-by-step explanation: 4)1. step1. 3^(4x3) ,  2. step1. -10^(3x6)

                                                    step2. 3^12      ,     step2. -10^18

                                              5)1. step1. 2^(7-5)  ,  2. step1. a^(7-3)

                                                     step2. 2^(2)     ,      step2. a^(4)

                                                 7. step1. -4^(3+5)/-4^(2+3)

                                                     step2. -4^(8)/-4^(5)

                                                     step3. 4^(8-5)

                                                     step4. 4^(3)

What is the distance of Line S T?
7 km
StartFraction 128 Over 11 EndFraction km
22 km
49.5 km

Answers

The length of side ST of the triangle SRT using concept of similar triangles is; ST = 22 km

How to find Length of Similar Triangles?

We are given a Triangle PQR.

In Triangle PQR, Side PQ = 16 kilometers and side PR = 24 kilometers.

In Triangle SRT, Side RT = 33 kilometers.

Using concept of ratio of similar triangles, we can say that;

ST/RT = PQ/PR

Thus;

ST = RT * (PQ/PR)

ST = 33 * (16/24)

ST = 22 Km

Read more about similar Triangles at; https://brainly.com/question/14285697

#SPJ2

For a corporation that has 2,500,000 shares of stock, how may shares would be needed to be a majority stock holder ? *

Answers

Step-by-step explanation:

a majority starts at half of the total mass + 1.

so,

2,500,000 / 2 = 1,250,000

and + 1 means then the majority would be

1,250,001 shares.

or
Joey bought 3 packs of white T-shirts and 5 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 9, and the blue T-shirts come in packs of 7. How many T-shirts did Joey buy in all?

Answers

White tshirts- 3 packes x 9per pack= 27
Blue tshirts- 5 x 7 = 35

In total - 62 tshirts

1. If the lines are parallel, find the measures
of <5 and <6.
122°
5
6
M<5 =
m<6=

Answers

Answer:

∠ 5 = 122° , ∠ 6 = 58°

Step-by-step explanation:

∠ 5 and 122° are vertically opposite and are congruent , then

∠ 5 = 122°

∠ 5 and ∠ 6 are same- side interior angles and sum to 180°

∠ 5 + ∠ 6 = 180° , that is

122° + ∠ 6 = 180° ( subtract 122° from both sides )

∠ 6 = 58°

Match each transformation to the best description of the transformation.

PLEASE HELPP BRAINLIEST ANSWER

Answers

Answer:

c a b

Step-by-step explanation:

brailiest pls

Which statements below are true? Select all that apply.
A. Ifp - q and q are true, then p is true.
B. If p - q and p are true, then q is true.
C. If p - q and a - rare true, then p
ris true.
D. If p - q and r are true, then q
ris true.

Answers

Answer:

A

Step-by-step explanation:

The statement that If p → q and q are true, then p is true which is the correct answer would be an option (A).

What is the conditional statement?

A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

Let us consider the example to understand the parts of a conditional statement.

Conditional Statement: If today is Friday, then yesterday was Thursday.

Hypothesis: "If today is Friday."

In the given problem,

Conditional Statement: If p → q and q are true, then p is true,

Hypothesis: "If p → q and q are true"

Hence, the statement that If p → q and q are true, then p is true which is the correct answer would be option (A)

Learn more about the conditional statement here:

brainly.com/question/7066208

#SPJ6

Please help me answer

Answers

If I were to answer this question I would pick letter A
The question is asking “Angle A is opposite from…. I would say A is the best answer.
Hope this helped :)

Find the distance from roller coaster 1 to the swings please help

Answers

Answer:

Step-by-step explanation:

Please help i really need it, i will give brainliest to the right answers

What is the value of 2^4 + 1/4||9x + 2|| when x = –2?

Answers

Answer:

-292 1/2

Step-by-step explanation:

PEMDAS

Perenthesis

2 To the power of 4 = 16 + 1/4 = 16/1 + 1/4 X -18

$12 per 45 minutes is how much per hour? (I will give brainliest to the first person that answers)

Answers

Answer:

16 per hour

Step-by-step explanation:

12/45         x/60 cross multiply

45x=720 divide by 45 from each side

x=16

Graph this function using intercepts
X + 5y = -5

Answers

we set y for 0 and get x = -5

this is your x-intercept

we set x for 0 and get 5y = -5

y = -1

(-5,0)

(0,-1)

hope this helped :)

quien es latino.......​

Answers

Answer:

un montón de gente

Step-by-step explanation:

Find the slope of the tangent line to the given polar curve at the point specified by the value of θ

r = 9 + 8 cos(θ), θ = π/3

Answers

The given curve has equation

r(θ) = 9 + 8 cos(θ)

and its derivative is

dr/dθ = -8 sin(θ)

When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.

Differentiate these with respect to θ :

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

In polar coordinates, we have

y(θ) = r(θ) sin(θ)

x(θ) = r(θ) cos(θ)

and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.

The slope of the tangent line to the curve is dy/dx. By the chain rule,

dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)

dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))

When θ = π/3, the slope is

dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))

dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

dy/dx = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

y - 13√3/2 = -1/(17√3) (x - 13/2)

y = -(x - 338)/(17√3)

What is the total price of a $45.79 item when a 7% sales taxe is added

Answers

Answer:

The total price after tax is $48.99

Step-by-step explanation:

Answer:

you have to put the 45.79/ 7% That's the taxes and you have to check your work first if you get something else different than a higher number you divide it again in long division and then if that doesn't work try to multiply in decimals

Graph the lines: y= 4x, y = – 4, and x = - 2.

Answers

How can we answer this
Attached is a screenshot of the graphed lines.

I graphed the line, y = 4x, by using the y-intercept (0 ,0), and used the slope (m = 4) to plot other points: {(-1, -4), (1, 4)}.

For y = -4, it is a horizontal line (y = b) with a zero slope. Therefore, regardless of the x-value, its corresponding y-coordinate will be the same (y = -4). To graph the line for y = -4, start at y = -4 and create a horizontal line from there.

For x = -2, it is a vertical line (x = a) with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Thus, regardless of the y-value, its corresponding x-coordinate will always be x = -2. To graph the graph, I started at point (-2, 0), and created a vertical line from there.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Your brother is 1/3 your age your sister is four years older than your brother your sister is nine years old right in equation to find your age X.

Answers

Answer:

you are 15

Step-by-step explanation:

9-4=5

5x3=15

Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies

Answers

Answer:bbbbb

Step-by-step explanation:

sssđs

Given : 13 apples for every 2 pies

We know that : 12 = 2 × 6

Therefore, the number of apples will be 13 × 6 = 78

So, the answer is 78

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