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
Volgvan
3 years ago
10

Given f(x) = 2x5 + 12, what is the value of (f-1 o f)(2)?

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

2

Step-by-step explanation:

You are trying to find (f' o f)(2).  This means that you need to put f(x) into f'(x) and solve for 2.

First, find f'(x).  To do this, take the original function and switch the x and y values.

y = 2x⁵ + 12

x = 2y⁵ + 12

x - 12 = 2y⁵

(x - 12)/(2) = y⁵

y = ⁵√(x - 12)/(2)

Now, you need to put f(x) into the inverse function through the x-value.  Simplify completely.

y = ⁵√((2x⁵ + 12) - 12)/(2)

y = ⁵√((2x⁵)/(2)

y = ⁵√x⁵

y = x

Now plug in the value given to you.

(f⁻¹ o f)(2) = 2

The answer is 2.

You might be interested in
What does this mean from the Declaration of Independence
vampirchik [111]
If you don't know what the Declaration of Independence means:
The Declaration of Independence is the statement adopted by the Second Continental Congress meeting at the Pennsylvania State House (Independence Hall) in Philadelphia on July 4, 1776, which announced that the thirteen American colonies,[2] then at war with the Kingdom of Great Britain, regarded themselves as thirteen newly independent sovereign states, and no longer under British rule. Instead they formed a new nation—the United States of America. John Adams was a leader in pushing for independence, which was passed on July 2 with no opposing vote cast. A committee of five had already drafted the formal declaration, to be ready when Congress voted on independence. The term "Declaration of Independence" is not used in the document itself
I hope that helps
7 0
3 years ago
Raul opened a savings account with $4800. Each week, d, Raul pays the dog sitter $20 from his savings account. Write a function,
Mnenie [13.5K]

Answer:

The function is: f(d)=4800-20d

Step-by-step explanation:

With the information provided, the function to calculate the amount of money in the account after Raul pays the dog sitter each week would be equal to the amount he used to open the savings account minus the result of multiplying the amount he pays the dog sitter each week for the number of weeks:

f(d)=4800-20d

According to this, the answer is that the function is: f(d)=4800-20d.

3 0
3 years ago
Order of Operations<br> P<br> E<br> M<br> D<br> A<br> S
crimeas [40]

Answer:

D

Step-by-step explanation:

3/5 + 1/5 is 4/5

4/5 x 4/3 is 16/15

16/15 = 1 1/15

7 0
3 years ago
Read 2 more answers
Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation? {–11, –1} {–11, 1} {11, –1} {11, 1} ,
Mnenie [13.5K]
Since quadratic coefient is 1 (term in front of x^2)
take 1/2 of linear cofient (12) and square it
12/2=6, 6^2=36
add that to both sides
x^2+12x+36=-11+36
factor perfect square
(x+6)^2=25
sqrt both sides and take positiv and negative roots
x+6=+/-5
minus 6 both sides
x=-6+/-5
x=-6+5 or x=-6-5
x=-1 or -11

answer is {-11,-1}
3 0
3 years ago
Read 2 more answers
Common factors of 20,25,40
dimaraw [331]
The factors of 20 are:
1, 2, 4, 5, 10, 20

The factors of 25 are:
1, 5, 25

The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40

The common factors are:
1, 5

The Greatest Common Factor:
GCF = 5

7 0
3 years ago
Other questions:
  • Can someone help me with this please ?
    15·1 answer
  • Whats the area of the figure ? pls help
    11·1 answer
  • At a Noodle &amp; Company restaurant, the probability that a customer will order a nonalcoholic beverage is . 43. Find the proba
    14·1 answer
  • Deny develops a new version of Fortnite and becomes a
    15·1 answer
  • A watt is a unit of power, which measures energy used per unit time. A kilowatt hour means 1 kilowatt of electricity used contin
    15·1 answer
  • Stan made changes to
    9·1 answer
  • Can somebody help me with this question. Thank you!
    6·2 answers
  • NEED ANSWER ASAP!! TYYY SO MUCH IN ADVANCE
    5·1 answer
  • Help me with this! I'll give Brainliest!!!!!!!!!!!!!!!
    10·2 answers
  • Does anyone know the answer to this like I don't understand how to do this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!