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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}

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pashok25 [27]
5/8=x/96 96÷8=12 12×5=60
3 0
4 years ago
A survey of the whole United States shows that 75% of 6th grade students like sports that involve running, that 60% of boys like
slamgirl [31]

Answer: 75% of 6th Grade Students

Step-by-step explanation:

This sample makes the most sense because it is a majority of everyone, not just a majority of certain people. Also, Mountain School would get fewer complaints from other people if they went with a majority of 75%. Finally, running sports usually cost less then other sports.

3 0
2 years ago
A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is
mestny [16]

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

  • perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

  • l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul

8 0
3 years ago
Moreeeeeweeeweeeeeeeee
Svetlanka [38]

Answer:

A

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here g(x) = f(x) - 2 ← with c = - 2 < 0

Then g(x) is the graph of f(x) shifted down 2 units

7 0
3 years ago
Rowena walks 3 kilometers a day. How many meters does she walk in three days?
andriy [413]
3km times 3 = 9km. 9km equals to 9000m.
3 0
3 years ago
Read 2 more answers
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