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
Vesna [10]
3 years ago
7

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

Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

Step-by-step explanation:

Inverse of a function:

Suppose we have a function y = g(x). To find the inverse, we exchange the values of x and y, and then isolate y.

In this question:

y = \frac{x^3}{8} + 16

Exchanging x and y:

x = \frac{y^3}{8} + 16

\frac{y^3}{8} = x - 16

y^3 = \frac{x-16}{8}

y = \sqrt[3]{\frac{x-16}{8}}

The inverse of the function is f^{-1}(x) = \sqrt[3]{\frac{x-16}{8}}

You might be interested in
What’s the volume of 4.3ft 5.2ft cone round to nearest hundredth
Vika [28.1K]

Answer:

Pick the best solution.

Step-by-step explanation:

Volume of a cone is V = ⅓πr²h

If cone diameter is 4.3

V = ⅓π(4.3/2)²(5.2) = 25.17148... ≈ 25.17 ft³

If cone radius is 4.3

V = ⅓π(4.3)²(5.2) = 100.685950... ≈ 100.69 ft³

If cone diameter is 5.2

V = ⅓π(5.2/2)²(4.3) = 30.439938... ≈ 30.44 ft³

If cone radius is 5.2

V = ⅓π(5.2)²(4.3) = 121.75975... ≈ 121.76 ft³

5 0
3 years ago
(1.5 X 10-2) (8.0 X 10-1)
d1i1m1o1n [39]
Answer: 4080

51•80=4080
7 0
3 years ago
Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
No one will answer this probably wasting my points XD) Spunky the terrier is chasing a chicken. Spunky runs at a rate of r feet
Vesna [10]
It sucks that points have to be used in order to post questions. 

Openstudy - the company that merged into Brainly -  was much better.

Anyway, I think that the answer to this question is A. I'm not sure, though.
4 0
3 years ago
Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2
ehidna [41]

Answer:

8√2

Step-by-step explanation:

4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2

Recognize that √2 is a common factor and simply add its coefficients.

6 0
3 years ago
Read 2 more answers
Other questions:
  • On friday 1/6 of band pracitce was spent trying on uniforms. the band spent 1/6 of practice on marching, the remaining practice
    10·1 answer
  • don't know how to do this kind of math anymore so if someone could me it would be really great 2.54 x .12000 =
    7·1 answer
  • Solve 3(x - 2) < 18.
    15·1 answer
  • Solve for x.<br><br> x2 - 2x - 24 = 0<br> -4, -6<br> -4, 6<br> 2, -6<br> 4, 6<br> NextReset
    13·2 answers
  • What is 144% as a fraction
    11·1 answer
  • Solve the equation need help ASAP 48 points
    11·1 answer
  • Line segment EF has a lenth if 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
    13·1 answer
  • What is 1/4 of 20? what is an equivalent fraction to 1/2?
    8·1 answer
  • Pls help me asapppp.
    6·1 answer
  • What is the equation of the line?<br> I’LL GIVE BRAINLIEST
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!