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
Goryan [66]
4 years ago
15

What is the inverse function of f(x)= x/x-2?​

Mathematics
1 answer:
jarptica [38.1K]4 years ago
5 0

Answer:

f^{-1}(x)=\frac{2x}{x-1}

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}

You might be interested in
the axis of symmetry for a function in the form f(x)=x^2+4x-5 is x=-2. what are the coordinates of the vertex of the graph?
Alenkasestr [34]
Hello : 
<span>f(x)=x²+4x-5
</span><span>The axis of symmetry for a function in the form f(x)=x^2+4x-5 is x=-2 :
</span>f(x) = (x+2)² + b 
f(x) x²+4x+4+b=  x² +4x-5 
 4+b= -5 
b = -9
the vertex is : (2 , -9)
4 0
3 years ago
Read 2 more answers
Convert 2/50 to percent
vodomira [7]

Answer: 4%

Step-by-step explanation: 50 x 2 = 100

2x2=4 4/100 or 4%

8 0
4 years ago
Read 2 more answers
Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each
Over [174]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
What is 15% of 135, show your work
SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

.

Step 3: From step 1 above,$135=100\%$

.

Step 4: Similarly, $x=15.\%$

.

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0
3 years ago
276.2 rounded to the nearest tenth
Nikolay [14]

Answer:

276.2 rounded to the nearest 10th is 276.2.....

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Choose the correct elevation for the peak shown.
    11·2 answers
  • A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
    9·2 answers
  • Find the inverse function (or relation) of the function f(x) =<br> x - 5.
    12·1 answer
  • A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. T
    7·1 answer
  • Kelly has 4 times as many songs on her music player as Lou
    7·1 answer
  • 98 POINTS AND BRAINLIEST
    6·2 answers
  • 4x = -20 Solve for x
    6·2 answers
  • This is not so hard please helpp
    13·2 answers
  • Which of the following are square roots of the number below? Check all that
    14·1 answer
  • The composite figure is made up of three simpler shapes? what is the area of the figure
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!