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
stellarik [79]
3 years ago
5

Plz help!!!

Mathematics
2 answers:
Harman [31]3 years ago
7 0

we know that f(1)=2 so f^-1(2)=1

so B is correct!

Sholpan [36]3 years ago
4 0

Answer:  The correct option is

(B) f^{-1}(x)=\dfrac{1}{x-1}.

Step-by-step explanation:  We are given to select the correct expression that is the inverse of the following function :

f(x)=\dfrac{x+1}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let y denotes f(x). Then,

y=f(x)~~~~~~\Rightarrow x=f^{-1}(y).

Substituting this value in equation (i), we get

f(x)=\dfrac{x+1}{x}\\\\\\\Rightarrow y=\dfrac{f^{-1}(y)+1}{f^{-1}(y)}\\\\\\\Rightarrow yf^{-1}(y)=f^{-1}(y)+1\\\\\Rightarrow yf^{-1}(y)-f^{-1}(y)=1\\\\\Rightarrow (y-1)f^{-1}(y)=1\\\\\Rightarrow f^{-1}(y)=\dfrac{1}{y-1}\\\\\Rightarrow f^{-1}(x)=\dfrac{1}{x-1}.

Thus, the required inverse of the given function is

f^{-1}(x)=\dfrac{1}{x-1}.

Option (B) is CORRECT.

You might be interested in
Find the 8th term of the geometric sequence show below
vivado [14]

Answer:

Alli khanaw .................

6 0
3 years ago
Read 2 more answers
Please help me.....
Rina8888 [55]

Answer: The last answer is correct

Step-by-step explanation:

BAC and BCA are the same because A=70 degrees B=70 degrees.

if the top looks exactly like the bottom or vise versa, its the same degree.  

7 0
3 years ago
What is AD/AB in simplest form
lys-0071 [83]
Idk sorry I’m stuck in an iready lessssssooooooonnnn. Ahahahahah
6 0
3 years ago
If a/4 = b/7, what is the value of a-b/b?<br> HELPPP! PLS
earnstyle [38]
A/4 = b/7 Cross multiply: 7a =4b Divide by b: (7a/b)=4 Multiply by 1/7: a/b =4/7 
4/7 is your answer
8 0
3 years ago
To change the shape of a function, you need to __or compress it.
polet [3.4K]

Answer: stretch

Step-by-step explanation:

Stretch and compression are the two ways to change the shape of a function

3 0
3 years ago
Other questions:
  • I WILL GIVE EXTRA POINTS AND BRAINLIEST HELPPP PLEASE!!!! SHOW ALL WORK!!!<br><br>Solve All 4!!
    5·1 answer
  • Find the length of the hypotenuse of a right triangle whose legs are 3 and . 2
    13·1 answer
  • Lines L and M are parallel find m parallel to 5
    15·2 answers
  • Jim is shopping for a suit to wear to his friends wedding. He finds the perfect one on sale at 30% off. If the original price wa
    12·1 answer
  • I need the whole solution
    6·1 answer
  • Subtract 23.4 – 8.78 =_____
    8·2 answers
  • Could I help some help on numbers 2,6,10,30, and 38 please
    10·1 answer
  • Irrational number formula​
    14·1 answer
  • The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics sk
    8·1 answer
  • Please help me with this! &lt;3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!