For the function f(x) = x^1/3/3 find f^-1(x)

For The Function F(x) = X^1/3/3 Find F^-1(x)

Answers

Answer 1

Answer:

To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.

Step-by-step explanation:


Related Questions

Is q = 5 a solution to the inequality below? q ≤ 8

Answers

Answer:

brainly please

Step-by-step explanation:

yes because 5 is less than 8

Answer:

No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)

Ali and Mo share a sum of money in the ratio Ali:Mo = 9:7 . Ali recieves $600 more than Mo. Calculate how much each recieves.

Answers

Answer:

A = 2700   M = 2100 dollars

Step-by-step explanation:

9 + 7 = 16 shares

  2 shares more = 600

       1 share = 300

9 shares * 300 = 2700

7 shares x 300 = 2100

Select the correct answer.
Consider this quadratic equation.
X^2+ 1 = 2x-3
Which expression correctly sets up the quadratic formula?

OA. -(-2) + 2)2 - 4(1)(4)
2(1)
OB.-(-2) + VE-2)2 – (1)(4)
2(2)
OC -2 + (-2)2 - 4(1)(4)
2(1)
OD. -2 + (2)2 – 4(1)(-2)
2(1)

Answers

Answer:A.   [tex]\displaystyle{\frac{-(-2) \pm \sqrt{(2)^{2}-4(1)(4)}}{2(1)} }[/tex]

Find the values a, b, and c to substitute into the quadratic formula.

Remember:Standard form

Notice how there are a, b, and c. Everything is left of the equal sign, leaving 0 on the right.

ax² + bx + c = 0

Quadratic formula

Notice how there are a, b, and c too, just like in standard form. After we find standard form, we can substitute a, b and c values into the quadratic formula.

[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]

Step-by-step solution

Here are the steps we will follow:

Rearrange the equation from the question into standard form.Determine the values for a, b, and c.Substitute a, b, and c into the quadratic formula.Compare options and simplify as needed.

Rearrange into standard form

Move everything to the left while keeping both sides equal.

x² + 1 = 2x – 3                 Equation from the question

x² + 1 + 3 = 2x – 3 + 3     Add three to both sides.

x² + 1 + 3 = 2x                 -3 + 3 cancels out to 0.

x² + 4 = 2x                      Simplify.

x² + 4 – 2x = 2x – 2x     Subtract 2x from both sides.

x² + 4 – 2x = 0                No numbers on the right side is the same as 0.

x² – 2x + 4 = 0                Rearrange to follow ax² + bx + c = 0.

Determine a, b, and c values

Find a, b, and c from standard form.

ax² + bx + c = 0         Standard form

x² – 2x + 4 = 0           No number attached to x² means a = 1.

a = 1,  b = –2,  and  c = 4

Substitute into the quadratic formula

Substitute a = 1, b = –2, and c = 4 into the quadratic formula.

[tex]\displaystyle{x=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a} }[/tex]    

Here is how our formula set up should look:

[tex]\displaystyle{x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(1)(4)}}{2(1)} }[/tex]

Compare answer options

Let's compare formula set up to the options in the question.

The denominator is 2(1). So, the answer is not option B.

Inside the square root, it says –4(1)(4). So, the answer is not option D.

This leaves us with either option A or option C.

Simplify

Before the ±, it says –(–2). When simplified, –(–2) is 2.

Option C has –2. So, the answer is not option C.

Inside the square root, it says (–2)², which is equal to 2².

When solving exponents of negative numbers,

an odd exponent results in a negative product, and;an even exponent results in a positive product.

The exponent 2 is even.

(–2)² = 4

∵ (–2)² = 4 and 2² = 4

∴ (–2)² = 2²

(–2)² is the same as 2².

Therefore, the answer is option A.

can anyone help plssss??

Answers

Answer:

42 degrees

Step-by-step explanation:

48+90=138

180-138=42

Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?

Answers

Answer: 180 minutes

90 miles in 3 hours

Step-by-step explanation:

60 minutes = 1 hour

60 mins/20 mins = 3

60*3 = 180

30 miles per hour for 3 hours is 90 miles

May I please get help to this question.

Answers

Answer: 3

Step-by-step explanation:

During which year(s) did Henry collect more coins than Chris?

Answers

Answer:

Step-by-step explanation:

1. Henry - 800. Chris - 600. 800 + 600 = 1,400 coins · 2. henry - 600. Chris - 400. 600 - 400 = 200 coins · 3. because henry has 800 chris

Find the factor of each ff.
6z²+12z+18​

Answers

Answer:

Step-by-step explanation:

6z² + 12z +1 8​

= 6(z^2 + 2z + 3).

That's it.


What is the number sentence for "1 less than N is the sum of Z and
2"?

Answers

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

        What is the number sentence for "1 less than n is the sum of z and 2?"

         [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     [tex]\Large\textit{n-1}[/tex]

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

     2:-

                                       [tex]\Large\textit{z+2}[/tex]

❖ Now, Combine these two little expressions into one equation:-

[tex]\implies\sf{n-1=z+2}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

I need this answer fast please and thank you

Answers

Answer:

1-nonlinear it is not consistant

2- a increasing, b constant, c decreasing

3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)

4- 8cm per second

work 16cm/2sec=8cm/1sec

Step-by-step explanation:

Choose the answer.
Use the net to determine the total surface area.

Answers

height of the net = 10.4 + 10.4 = 20.8
length = 12 + 12 = 24
area of the net (big triangle) = 1/2 x 24 x 20.8 = 249.6

answer : 249.6cm^2

The length and width of a rectangle are consecutive even integers. The perimeter is 92 meters. Find the length and width!

Answers

Answer:

w represents the width

w + 2 represents the length

 

2(w + w +2) = 76     formula for perimeter

w + w + 2 = 38        divide both sides by 2

2w + 2 = 38             combine like terms

2w = 36                    subtract 2 from both sides

w = 18                      divide both sides by 2

 

On a recent survey, 35% of those surveyed indicated that they preferred running. If 540 people were surveyed, how many people preferred running?

Answers

Answer: 189 people preferred running.

Step-by-step explanation: 35% is equal to 35/100. Since 540 people were surveyed, we can multiply 35/100 by 540 to find that 189 people out of 540 preferred running. Hope this helps!

one last question! so i am doing this equation 6x-5=8x+2 but as I am doing it I got 7/-2 but in my answer key both are negative? what am I doing wrong?

this is what I have so far
6x-5=8x+2
6x-8x=5+2
-2x=7

Answers

Answer:

6x - 5 = 8x + 2

or -5-2 = 8x-6x

or -7 = 2x

or -7 / 2 = x

this is correct answer because in fraction form if one number is negative whole fraction is negative

Hey there!

IF YOUR EQUATION IS:

6x - 5 = 8x + 2
THEN:

SUBTRACT 8x to BOTH SIDES

6x - 5 - 8x = 8x + 2 - 8x

SIMPLIFY IT!

-2x - 5 = 2

ADD 5 to BOTH SIDES

-2x - 5 + 5 = 2 + 5

SIMPLIFY IT!
-2x = 2 + 5

-2x = 7

DIVIDE -2 to BOTH SIDES

-2x/-2 = 7/-2

SIMPLIFY IT!
x = -7/2


The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.



Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of PQ. P(1,4), Q(3,-2)​

Answers

Answer:

a) 6.3; b) (2;1).

Step-by-step explanation:

[tex]a) \ |PQ|=\sqrt{(X_P-X_Q)^2+(Y_P-Y_Q)^2}=\sqrt{4+36}=\sqrt{40} =6.3;[/tex]

[tex]b) \ (\frac{X_P+X_Q}{2};\frac{Y_P+Y_Q}{2}); \ = > \ (2;1).[/tex]

HELP ASAP PLEASE!!!!!!!

Answers

1st , and 3rd will be your answer

5. Find the equation of the line that is perpendicular to the given line and passes through the given point. y = 5x-1; (-1, 1)​

Answers

Answer:

y = -0.2x+ 0.8

Step-by-step explanation:

If a line is perpendicular to another line then the slope of the line = the negative reciprocal of the other line

Here Line AB has the equation y = 5x - 1. Here slope = 5
This comes from the fact that if a line has the equation y= mx + c then the slope = m and the y intercept = c

If XY is the line perpendicular to AB then its slope = -1/5. Let the y intercept of XY be c

Then equation of line XY is: y = (-1/5)x + c = -0.2x + c (1)

Since it passes through (-1, 1) ie through x = -1, y=1, substitution these values into the above equation (1), we get

1 = (-0.2)(-1) + c or

1 = 0.2 + c or  

c = 0.8

As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.

Answers

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

4. For exercise, Francesca walks laps around a track. She walked 0.9 of a lap around the track in 5 minutes. If each lap is 440 yards, how fast did
Francesca walk?
•88 yards per minute
•360 yards per minute
•90 yards per minute
• 79.2 yards per minute

Answers

Answer:

79.2 yards per minute

Step-by-step explanation:

First you 440 times 0.9. which equals 396. Then you divide the answer by 5 to get 79.2.

Cooking oil is sold 250ml packets. How much money would Joshua pay for 1litre of cooking oil,if the market price of 1/2litre is 1700​

Answers

Answer:

3400

Step-by-step explanation:

1L=1000ml

½L=500ml price = 1700

2(500)=2(1700)

1000L= 3400

hence Joshua will pay R3400 for 1L of cooking oil

Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to indicate exponents. For example, type a2 as a∧2. (Hint: Let s be a length of each side and x be the angle measure; then use these variables in the law of cosines.)

Answers

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b² + c² - a²)/2bc

cos B= (a² + c²- b²)/2ac

cos C = (a²+ b²- c²)/2ab  

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s² + s² - s²)/(2s×s)

cos A = (s² )/(2s²)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s² + s² - s²)/(2s×s)

cos B = (s²)/(2s²)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s² + s² - s²)/(2s×s)

cos C = (s² )/(2s²)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here:

brainly.com/question/2866347

#SPJ1

Sort these in either Combination or Permutation PLEASE HELP!!!! 100 POINTS

Answers

A permutation is where there is a difference in positions where the things will be selected into (order matters). Combination is where order doesn’t matter. I have sorted them but I am not sure about the starting line up one. If the players are selected into specific positions then it would be a permutation.

If order matters then that's permutation else that's combination

So

Here the answers are

#1

Teams cannot be repeated

Permutation

#2

Teachers also can't be repeated

Permutation

#3

Can't repeat

Permutation

#4

Already mentioned

Permutation

#5

Repeating allowed

Combination

#6

Can be repeated

Combination

#7

Can't be repeated

Permutation

#8

Can be repeated

Combination

#9

Combination

simplify 15a^z * 4c * 5ab

Answers

[tex]300a {}^{z + 1} bc[/tex]

(x) = -2x - 3
g(x) = 3x + 1
Find (f .g)(x)

Answers

Answer:

Answer:-6x^2 -11x - 3

Step-by-step explanation:

(f.g)(x)=(-2x-3)(3x + 1)

= -6x^2 -11x - 3

What is the surface of the area of the composite figure

Answers

Answer:

1744.4

First, remove 13

13 and use length times width times height to get the surface area. 14 x 14 x 8.9

Angle t= 37 degrees angle u=? Angle v= 63

Answers

Answer:

[tex]m <U = 80°[/tex]

Step-by-step explanation:

Before we start calculating we have to first note that the angles in a triangle always add up to 180°. Therefore in order to find the missing angle U we have to add both the angles we know, 37° and 63°, then subtract the sum from 180°

[tex]m < U = 180- (37 + 63) \\ \\ m < U = 180 - 100 \\ \\ m< U = 80[/tex]

can anyone tell me what points I plot these two at ? ty

Answers

Answer:

Both graphs in 2 separate attachments--placed in order

Hope it helps.

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

Let's solve for x ~

⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]

P.S here's the graph that might help you!

Let's solve of x ~

⇢  [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]

⇢  [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]

⇢  [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]

⇢  [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]

⇢  [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]

⇢  [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]

P.S here's the second image of the graph. so, you won't get confused.

Hope It Helps! ~

~ Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

i need this answer quickly

Answers

Answer to y=3x+2
(-2,0)
You can check by putting 0 instead of Y or -2 instead of X
When x = 2 then y = 3 x 2 + 2 = 8
When x = 0 then y = 3 x 0 + 2 = 2
When x = -2 then y = 3 x -2 + 2 = -4
So the middle two answers (0, 2) and (2, 8) are both points on the line

A legal document contains pages numbered 1 through 50. What is the probability that the lawyer will flip to a page number
that is not a multiple of 4?
• Write your answer in fraction form. Reduce the fraction if necessary.
Provide your answer below:

Answers

Using it's concept, it is found that the probability that the lawyer will flip to a page number that is not a multiple of 4 is given by:

[tex]p = \frac{19}{25}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 50 numbers, of which 50 - (48/4) = 38 are not multiples of 4, hence the probability is given by:

[tex]p = \frac{38}{50} = \frac{19}{25}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

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An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 3 gluten-intolerant and 8 vegetarian classmates. The individual has 7 hours, how much time can he spend on each chicken-stuffed pepper?

Answers

Answer:

                             

Step-by-step explanation:

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