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
nignag [31]
3 years ago
14

Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.

Mathematics
1 answer:
galben [10]3 years ago
5 0
The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of 
<span>f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = </span><span>f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.</span><span />
You might be interested in
Which container holds more a half gallon milk truck or two-liter juice bottle showing 1
malfutka [58]
<span>1 gallon is equal to 3.78541 liters. Therefore, a half gallon would be equal to about  1.89271 liters. Thus, a 2 liter bottle holds more. </span>
6 0
3 years ago
Answer fast please and thank you
Anika [276]

Answer:

wait did u upload this twice-

Step-by-step explanation:

3 0
3 years ago
Use the interactive spinner to simulate who among Elisondra and her three friends will order first during 40 restaurant visits.
Marina CMI [18]

Answer:

0.35

Step-by-step explanation:

5 0
4 years ago
Read 3 more answers
Find the imaginary part of\[(\cos12^\circ+i\sin12^\circ+\cos48^\circ+i\sin48^\circ)^6.\]
iren [92.7K]

Answer:

The imaginary part is 0

Step-by-step explanation:

The number given is:

x=(\cos(12)+i\sin(12)+ \cos(48)+ i\sin(48))^6

First, we can expand this power using the binomial theorem:

(a+b)^k=\sum_{j=0}^{k}\binom{k}{j}a^{k-j}b^{j}

After that, we can apply De Moivre's theorem to expand each summand:(\cos(a)+i\sin(a))^k=\cos(ka)+i\sin(ka)

The final step is to find the common factor of i in the last expansion. Now:

x^6=((\cos(12)+i\sin(12))+(\cos(48)+ i\sin(48)))^6

=\binom{6}{0}(\cos(12)+i\sin(12))^6(\cos(48)+ i\sin(48))^0+\binom{6}{1}(\cos(12)+i\sin(12))^5(\cos(48)+ i\sin(48))^1+\binom{6}{2}(\cos(12)+i\sin(12))^4(\cos(48)+ i\sin(48))^2+\binom{6}{3}(\cos(12)+i\sin(12))^3(\cos(48)+ i\sin(48))^3+\binom{6}{4}(\cos(12)+i\sin(12))^2(\cos(48)+ i\sin(48))^4+\binom{6}{5}(\cos(12)+i\sin(12))^1(\cos(48)+ i\sin(48))^5+\binom{6}{6}(\cos(12)+i\sin(12))^0(\cos(48)+ i\sin(48))^6

=(\cos(72)+i\sin(72))+6(\cos(60)+i\sin(60))(\cos(48)+ i\sin(48))+15(\cos(48)+i\sin(48))(\cos(96)+ i\sin(96))+20(\cos(36)+i\sin(36))(\cos(144)+ i\sin(144))+15(\cos(24)+i\sin(24))(\cos(192)+ i\sin(192))+6(\cos(12)+i\sin(12))(\cos(240)+ i\sin(240))+(\cos(288)+ i\sin(288))

The last part is to multiply these factors and extract the imaginary part. This computation gives:

Re x^6=\cos 72+6cos 60\cos 48-6\sin 60\sin 48+15\cos 96\cos 48-15\sin 96\sin 48+20\cos 36\cos 144-20\sin 36\sin 144+15\cos 24\cos 192-15\sin 24\sin 192+6\cos 12\cos 240-6\sin 12\sin 240+\cos 288

Im x^6=\sin 72+6cos 60\sin 48+6\sin 60\cos 48+15\cos 96\sin 48+15\sin 96\cos 48+20\cos 36\sin 144+20\sin 36\cos 144+15\cos 24\sin 192+15\sin 24\cos 192+6\cos 12\sin 240+6\sin 12\cos 240+\sin 288

(It is not necessary to do a lengthy computation: the summands of the imaginary part are the products sin(a)cos(b) and cos(a)sin(b) as they involve exactly one i factor)

A calculator simplifies the imaginary part Im(x⁶) to 0

4 0
3 years ago
WHICH ONE IS IT!!!!!!!
Westkost [7]

ANSWER IS CCCCCCCCCCCCCCCCCCCCCCCCCC

4 0
3 years ago
Read 2 more answers
Other questions:
  • Factorise fully the following:<br>a) 5x + 40​
    14·1 answer
  • The area of a rectangle is the product of its length and width.a rectangular poster has an area of 260 square inches.the width o
    12·1 answer
  • 3.2 cubic feet = how many inches ?
    9·1 answer
  • I need help on how to set this problem up and also how to solve it.
    10·2 answers
  • Need so much help with number 3
    13·2 answers
  • Each year, a school allocates a sum of money for the library. The amount allocated each year increases by 2.5% of the amount all
    11·1 answer
  • X increased by 61% i really need hep and show me how you got it :))))
    15·1 answer
  • At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
    14·1 answer
  • What is the value of x in the equation , when y = 3?
    12·2 answers
  • Find the equation of the linear function represented by the table below in slope- intercept form. X o 1 2 3 4 у -5 1 7 13 19​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!