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
suter [353]
3 years ago
15

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

Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

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

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \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)} }}

• therefore:

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

You might be interested in
Please help me with this homework
Oxana [17]
M stands for the slope of the line and b is called the y-intercept of the line
4 0
3 years ago
Read 2 more answers
Simplify: 18 + 8 + 2 (-5) -4<br><br> a. -10<br><br> b. -18<br><br> C. -81<br><br> d. -73
Vlada [557]
That would be d -73
7 0
3 years ago
Read 2 more answers
Write the<br> equation of a<br> line that is<br> vertical and<br> goes through<br> the point (4,-2)
attashe74 [19]

Answer:

x = 4

Step-by-step explanation:

6 0
3 years ago
The following data shows rainfall in a forest, in inches, on consecutive days of a month:
lorasvet [3.4K]

Answer:

??

Step-by-step explanation:

is there suppossed to be a chart

6 0
3 years ago
What do you do when ur bathtub wont work
lubasha [3.4K]

Answer:

Sometimes I l i c k  myself like a cat but other times I'll just get orange juice and pour it on myself. Either way works great!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • The equation y = 15.7x + 459 can be used to predict the cost of renting a studio apartment in a certain housing complex, where x
    7·2 answers
  • Audrey needs to cut 1 meter of yellow ribbon and 28 centimeters of blue ribbon. In total, how many centimeters of ribbon does sh
    13·2 answers
  • A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling
    11·1 answer
  • Darron uses a family recipe to make hamburgers. If he plans on using 1 1/3 cups of bread crumbs, about how many pounds of hambur
    6·1 answer
  • 20 pts!!!!!!!!!
    7·2 answers
  • Select all the conversions that are
    9·1 answer
  • For a craft activity at a day care, each child will need 1.75 yards of ribbon and 2.8 yards of fabric. There are 25 yards of rib
    14·1 answer
  • Answer y + 7 = 18 show your work
    14·2 answers
  • In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
    7·1 answer
  • Find the surface area of the cone in terms of pi. 15cm 3cm
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!