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
Dmitriy789 [7]
3 years ago
14

Find

id="TexFormula1" title="f^-1 ( x ) when f ( x ) = \frac{3x}{x-2}" alt="f^-1 ( x ) when f ( x ) = \frac{3x}{x-2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

f^{-1}(x) = \frac{2x}{x-3}

let y = f(x), then rearrange making x the subject

y = \frac{3x}{x-2} ( multiply both sides by (x - 2 ))

y(x - 2 ) = 3x (distribute )

xy - 2y = 3x ( subtract 3x and add 2y to both sides )

xy - 3x = 2y (factor out x on left side )

x(y - 3 ) = 2y ( divide both sides by (y - 3) )

x = \frac{2y}{y-3}

change y to x for inverse function

f^{-1}(x) = \frac{2x}{x-3}



You might be interested in
Click on the picture to see the question and the answer choices.
Vladimir [108]
Answer:  [C]:  "Each circle has only one diameter."
________________________________________________________
8 0
3 years ago
Read 2 more answers
Let the demand function for a product be q = 100 - 2p. the inverse demand function of this demand function is:_______
Westkost [7]

The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.

Learn more about inverse functions at

brainly.com/question/3831584

#SPJ4

3 0
2 years ago
Louis bought a laptop for $720. It was marked $90 off because it was an open product. He also got a 15% discount, which was take
Mekhanik [1.2K]
The original price is $952.94
3 0
3 years ago
Read 2 more answers
What is the smallest quantil used in the recipe
daser333 [38]
1/8 teaspoon saffron or ground turmeric
4 0
3 years ago
In an exponential function like the one shown below, what does the a term and the b term
Ivenika [448]
The duma a term is the x interest
5 0
3 years ago
Other questions:
  • How do you solve this without substituting <br> 2a+b=-5<br> -5a+b=16
    9·1 answer
  • PLEASE HELP What is the slope of the line y=−4y
    14·1 answer
  • In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the l
    15·1 answer
  • What is the average rate of change for this quadratic function for the interval from x =3 to x = 5
    9·1 answer
  • Given three balls and four boxes. Assume the boxes are numbered 1, 2 ,3 and 4.Place the ball one by one into the boxes randomly.
    9·1 answer
  • The difference of two numbers is 1<br> and their product is 56.<br> What are the two numbers ?
    8·1 answer
  • Please help me on this will give you brainliest!!
    15·1 answer
  • Can someone help me please?
    9·1 answer
  • 10. 72 x 22
    7·1 answer
  • 9. Derrick Zoolander is working in the mines for $8.00 per hour, but he get overtime for every hour over 40 hours.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!