What is the inverse of the function g(x) = x^3/8 + 16 ?

Answers

Answer 1

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]


Related Questions

Need help fast please. Need help please.

Answers

A.
That’s the answer

An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?

Answers

The amount of quarts which will be made in 36 hours and the production rate per day is :

1224 quarts on 36 hours 816 quarts in a day

Given the Parameters :

Time taken to make 170 quarts = 36 hours

Number of quarts made in 36 hours using the proportional relationship :

170 = 5

p = 36

Cross multiply :

5p = 170 × 36

5p = 6120

p = 6120 / 5

p = 1224 quarts

The production rate per day :

Number of hours in a day = 24 hours

170 = 5

p = 24

Cross multiply

5p = 170 × 24

5p = 4080

p = 4080/5

p = 816

Therefore, the production rate per day is 816 quarts

Learn more : https://brainly.com/question/18112348

who ruled china in 150 bce

Answers

The Qing I am 98% sure this is right

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation:

Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

Answers

9514 1404 393

Answer:

y -195 = 15(x -9)$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

The value of an asset, currently priced at $100 000, is expected to increase by 20% a
year.
(a) Find its value in 10 years’ time.
(b) After how many years will it be worth $1 million?

Answers

Answer:

A) it will become 300,000 in the next 10 years.

Select the correct answer. Which of the following is equal to the expression below? A. B. C. D.

Answers

Answer:

b

Step-by-step explanation:

Hi! ❤️ there looking for help on this giving brainliest if able to.

Answers

Answer:

true......................

The first two should be true and the second two should be false. I am sorry if I am incorrect but I am almost positive that is correct.

Hope this helps :)

Irrational numbers cannot be written as a ratio…irrational means not rational. All fractions of integers are Rational.

Answers

with the exception of perfect squares, all square root of whole numbers are irrational, e.g. √5

how about this one:

2.34334333433334.... I am increasing the number of 3s each time, thus

creating a decimal which never ends and never repeats.

or

12.3456789101112131415.... can you see what I am doing?

will it ever end? will it ever repeat?

jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.

48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200

Answers

19,200
Yes it’s correct

Answer:

A is the correct answer..

i got this correct on my test

An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one

Answers

One more point. 6(1)-2(-1/2) = 5. 6(1)-4(-1/2) = 4

What is the product of 64and 35?

Answers

Answer:

99

Step-by-step explanation:

 64

+ 35

= 99

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Answers

Answer:

12 Super Giant Pizzas

Step-by-step explanation:

36 ÷ 3 = 12

Answer:

Step-by-step explanation:

You will need to get 12 pizzas

Explanation:36÷3=12

A $1.200 television is on sale for 30% off. what will be the total price of the television?

Answers

Answer:

the total price of the TV is $840.

Step-by-step explanation:

100% - 30% = 70%

I'm guessing you meant 1,200 not 1.20 (lol) so I'm just going to go with that.

1,200 * 0.70 = 840

Therefore the total price of the TV is $840.

Please mark brainliest and have a nice day!

Find the least common multiple of 6, 10, and 5.​

Answers

Answer:

30

Step-by-step explanation:

First, let's list the first 10 multiples of 6, 10, and 5.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...

Ah ha!

Can you see a common multiple? It is 30, isn't it?

So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]

Find the area of the figure. (Sides meet at right angles.) 3 cm 3 cm # cm и cm 9 cm 4 cm 9 cm 10 cm​

Answers

Answer:

114cm²

Step-by-step explanation:

divide the 'room' into equal boxes..

3cm×4cm= 12cm²

3cm×4cm=12cm²

9cm×10cm=90cm²

12cm+12cm+90cm= 114cm²

total area is 114cm²


A. figure P
B. figure R
C. figure S
D. figure G

Answers

Answer:

D. figure G

Step-by-step explanation:

Alyssa has 9 markers and 24 pencils what is the most numbers of kits she can make of each kit has the same number of items?

Answers

9 since she only has 9 markers

Find the slope of the line that passes through the pair of points. (0,1) (2,5)

Answers

Answer:

the slope of line is 2

Step-by-step explanation:

here

x1=0 & y1=1

x2=2 & y2=5

we know that .

the slope of line = y2-y1 / x2-x1

=5-1/2-0

=4/2

=2

How to find the frequency for temperature in Fahrenheit

Answers

Answer:

Step-by-step explain

if you where in your house say that your house is set to 72F and you want to find out the Fahrenheit you take the 2 in 72 and multiply it by 3 so in that case it would be 6 then you take the 7 and subtract 1 which makes it 6 So the Fahrenheit is 66.

Simplify 10/16 to lowest terms and find and equivalent fraction that has a denominator of 32

Answers

The lowest fraction for 10/16 is 5/8
and for the equivalent fraction with a denominator for 32 is 20/32

The lowest terms of fraction are, 5/8

And, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

We have to given that,

To simplify fraction 10/16 to lowest terms and equivalent fraction that has a denominator of 32.

We have,

⇒ 10 / 16

⇒ 10 ÷ 2 / 16 ÷ 2

⇒ 5 / 8

Therefore, The lowest terms of fraction are, 5/8

And, Let the numerator of the fraction with denominator 32 is, x

Hence, It can be written as,

⇒ x / 32

Equivalent to 10/16,

⇒ 10/16 = x/32

⇒ 32 x 10 = 16x

⇒ 320 = 16x

⇒ x = 20

Therefore, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

simplify the expression -2x(x+3)

A: -x -6
B: -x + 6
C: -2x + 6
D: -2x - 6​

Answers

Simplify the expression -2x(x+3)

-2x(x+3)

-2x²-6x

I don't know if I'm wrong because my answer isn't an option.

What is the quotient in the simplest form ? 3/5 divided by 2/7

Answers

The quotient in the simplest form is 21/10

……………..??????????????

Answers

That’s a tricky stem and leaf plot, Anw as the key shows 11|6 =16

So the most common arm span is 12 the least commons are 11,17,19,22 which appear only one time. So I’d say there are no outliers

please answer both thank you

Answers

Answer: 3/4 are eqivelent to 6/8

Step-by-step explanation:

How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?

Answers

When you’re multiply numbers with exponent you add the exponents

The height of a building is 1383 feet. How long would it take for an object to fall from the top?

Answers

Answer:hope this helps

Step-by-step explanation:

What is the value of each digit in 28.6597

Answers

Answer: 200000

               800000

                  6000

                     500

                        90

                           7

Step-by-step explanation:

What is the domain and range of the function
graphed below?

Answers

A
this is because it is not infinite since there are not arrows and domain is all the possible c values while range is all the possible y values. Therefore when analyzing the graph we can see it starts at x=2 and ends at x=10 which is the domain. we can also see the lowest y value is 1 while the highest is 3 which is the range :)

Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?

Answers: (this one is for what it was multiplied by)


A) 0.01
B) 0.1
C) 1
D) 10

Answers to the question:

E) 0.005
F) 0.05
G)0.5
H)5

Answers

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

10 of the hundredth squares are colored red, so that multiplier is ...

  10/100 = 0.10 = 0.1 . . . choice B

__

5 of the hundredth squares are colored both red and green, so that product is ...

  5/100 = 0.05 . . . choice F

What is the value of x if...
9x - 4 - 4x = 8 + 3x

Answers

Hello!

Answer:

x=6

Step-by-step explanation:

Hope this helps!

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