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
Arlecino [84]
3 years ago
11

Select the correct answer What is the inverse of the function f(x)=x+1/x

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

Answer:

<h2> </h2><h2>{f}^{ - 1} (x) =  \frac{1}{x - 1}</h2>

Option B is the correct option.

Step-by-step explanation:

Let y = f ( x )

y =  \frac{x + 1}{x}

Apply cross product property

xy = x + 1

Move 'x' to L.H.S and change it's sign

xy - x = 1

Take x as common

x(y - 1) = 1

x =  \frac{1}{y - 1}

Replace x by f ⁻¹(x) and y by x

{f}^{ - 1} (x) =  \frac{1}{x - 1}

Hence, Option B is the correct option.

Hope this helps..

Best regards!!

Sedaia [141]3 years ago
7 0

Answer:

\boxed{\mathrm{B}}

Step-by-step explanation:

f(x)=\frac{x+1}{x}

y=\frac{x+1}{x}

Make x as subject.

Multiply both sides by x.

yx=x+1

Subtract both sides by x.

yx-x=1

Factor out x.

x(y-1)=1

Divide both sides by y-1.

x=\frac{1}{y-1}

Switch variables.

y=\frac{1}{x-1}

You might be interested in
The cost CC (in dollars) of making nn watches is represented by C=15n+85C=15n+85. How many watches are made when the cost is $38
dangina [55]
\bf \stackrel{cost}{C}=15\stackrel{watches}{n}+85\qquad \boxed{C=385}\qquad \stackrel{cost}{385}=15n+85&#10;\\\\\\&#10;380=15n\implies \cfrac{380}{15}=n\implies \cfrac{76}{3}=n\implies 25\frac{1}{3}=n

so, 25 whole watches and hmmmm just the wristband of another maybe.
5 0
3 years ago
I don’t understand, help please ?!
GREYUIT [131]
I think you multiply or add
5 0
3 years ago
Read 2 more answers
For questions 6a &amp; 6b, calculate the mean for each group: 6a) Textbook A 6b) Textbook B Mean: ______________ Mean: _________
lisabon 2012 [21]

Answer:

44 52 95 76 13 94 83 72 55 81 22 25 64

The mean is: 59.7

65 72 48 63 68 59 68 62 75 79 81 72 64

The mean is: 67.4

3 0
4 years ago
The table shows how the number of sit-ups marla does each day has changed over time. at this rate how many sit-ups will she do o
DENIUS [597]
The number of situps form an AP with first term (a) = 17 and common difference (d) = 4

Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61

Therefore, she will do 61 situps on day 12.
5 0
3 years ago
Read 2 more answers
A ride at a theme park lasts 1 1/2 minutes. It takes 2 minutes to prepare the ride for each trip. How many times can the ride be
Darya [45]
8 or 8 1/2 because you won't finish the ride due to 28 + 3 1/2 being odd
3 0
3 years ago
Read 2 more answers
Other questions:
  • Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive
    11·2 answers
  • Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)
    13·1 answer
  • Write 3327 in expanded form. Do not evaluate the powers of 10. 3327=
    14·1 answer
  • F(x) = square root of x+9 ; g(x) = 8x - 13<br> Find f(g(x))
    15·1 answer
  • he accounts receivable department at Rick Wing Manufacturing has been having difficulty getting customers to pay the full amount
    14·1 answer
  • The legs of a right triangle are 3 units and 10 units. What is the length of the hypotenuse? Round your answer to the nearest hu
    7·2 answers
  • You ride the subway about 45 times per month. should you buy the monthly pass
    14·1 answer
  • Pleasee helpp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
    14·2 answers
  • Surface area.. please answer
    9·2 answers
  • Me ayudancon esto?plisssss​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!