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Leona [35]
3 years ago
12

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

Mathematics
1 answer:
defon3 years ago
7 0
Answer: f^-1(x) = 2x/x-1

Explanation:
Setting y=f(x)

y=x/x-2

This may be rearranged as follows

y(x-2) = x

x•y-2y = x

x•y-x = 2y

x=2y/y-1

The expression shows x in terms of y.

That is it! The inverse function of f(x).

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In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz
KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

\frac{1}{10} of CDs is given by

\frac{1}{10}\times 100\\\\=10

According to question,

\frac{1}{5} of her Jazz CDs represents \frac{1}{10} of all her CDs.

Let the number of Jazz CDs be  x

So, it becomes

\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50

So, Number of Jazz's CDs is 50

Number of Jazz non CDs  is given by

100-50=50

Ratio of her CDs to her non- CDs is given by

50:50\\\\1:1

Hence, the required ratio is 1:1.

6 0
3 years ago
Find the domain and range of the<br>function y = f(x)= √x-2<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%202%7D%20" i
Over [174]

Answer:

3x-x+2=4

Step-by-step explanation:

The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.

4 0
2 years ago
Surface area... help me
alexandr402 [8]

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Hope this is what you were looking for

6 0
2 years ago
Which graph represent the solution set of y=x^2+4x+3 and y=2x+6
Mamont248 [21]

Answer:

solution set are

(-3,0)

(1,8)

Step-by-step explanation:

we are given system of equation as

y=x^2+4x+3

y=2x+6

For finding solution set , we can draw graph of both equations

and then we can find intersection point

the intersection point will be our solution set

we get graph  as

So, solution set are

(-3,0)

(1,8)


4 0
3 years ago
Which expression represents the surface area of the
padilas [110]

Answer:

the answer is a I think your welcome

5 0
2 years ago
Read 2 more answers
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