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
Julli [10]
3 years ago
8

If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function ​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

You might be interested in
Linda already owns 10 hair bands, and additional hair bands are priced at 1 for a dollar.
dybincka [34]

Answer:

Step-by-step explanation:

45 total hair bands

8 0
3 years ago
Common factors of 20w and 40wz
Alla [95]
I hope this helps you

6 0
3 years ago
What is 5 to the power of 1 in expanded form​
fomenos

Answer:

5^1 in expended from is 5

hope it helps.

3 0
3 years ago
Someone please help me I’m actually struggling so much rn.
alexandr1967 [171]

Answer:

Step-by-step explanation:

okay don't feel bad, you actually got it right, let me help you with some holes!

You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1

the vertical change is -1 horizontal change is 3 so by rise/run=-1/3

-1/3 is the slope

for the second problem this is confusing but just read and try to analyze

vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)

The y intercept is the point where the line hits the y axis, so at point (0, 5)

The function is y=mx+b

m is the slope

b is the y intercept

so y=-1/3x+5

7 0
3 years ago
Kate has a coin collection. She keeps seven of the coins in a box, which is only 5% of her entire collection. What is the total
tia_tia [17]

Answer:

D. 140

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total
    13·1 answer
  • Drag a statement or reason to each box to complete this proof.
    13·1 answer
  • How do I solve this PLZ FOR 10 POINTS???????????????????????????????????????????????????????????????????????????????????????????
    7·1 answer
  • If 64 feet of rope weighs 20 pounds how much will 80 feet of the same rope weigh
    13·2 answers
  • A fancy dinner for two cost $69.06 before a 7% tax
    6·1 answer
  • Independent random samples of students were taken from two high schools, R and S, and the proportion of students who drive to sc
    12·1 answer
  • Λ represents the average rate, and the expected number of events in a given time frame for the ____________ distribution.
    5·1 answer
  • I will mark brainliest <br><br> The snack that smiles back ____
    11·1 answer
  • Mhanifa please help I will mark brainliest
    11·1 answer
  • Plz help i need it asap​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!