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ZanzabumX [31]
3 years ago
11

Find a formula for the inverse of the function f(x)=(1+e^x)/(1-e^x)

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
You can find the inverse function for
.. y = (1 +e^x)/(1 -e^x)
by swapping the variables and solving for y.
.. x = (1 +e^y)/(1 -e^y)
.. x(1 -e^y) = 1 +e^y
.. x -1 = e^y*(1 +x)
.. e^y = (x -1)/(x +1)
.. y = ln((x -1)/(x +1)) . . . . . your inverse function

See this link for a graph.
https://www.desmos.com/calculator/r0lcd1veps

The orange dashed line is there to help you see the inverse function is the original function reflected across the line y=x.
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vekshin1
I believe that the answer is 22x
3 0
3 years ago
At Stephanie's new job, she spent $6.50, $8, $7.25, $13.50, and $9.75 on lunch the first week. In the second week, Stephanie spe
MaRussiya [10]

Answer:

The mean for the second week is $2 less than the first and in percentage it is 22% less.

Step-by-step explanation:

The mean is given by the sum of all individual values divided by the number of values. For the first week the sum is:

sum1 = 6.5 + 8 + 7.25 + 13.5 + 9.75

sum1 = 45

Since she spent 10 less in the second week the sum is:

sum2 = sum1 - 10 = 45 - 10 = 35

The mean for each week is:

mean1 = sum1/5 = 45/5 = 9

mean2 = sum2/5 = 35/5 = 7

difference = mean1 - mean2 = 9-7 = 2

difference(%) = [2/9]*100 = 0.22*100 = 22%

The mean for the second week is $2 less than the first and in percentage it is 22% less.

6 0
3 years ago
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aniked [119]

Answer:

3 blocks east

5 blocks south

Step-by-step explanation:

Hope it helps

5 0
2 years ago
Create a proportional ratio<br> to the given ratio<br><br> 1/8 = ?
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3 0
3 years ago
Read 2 more answers
Put in order from least to greatest 2.54, 5/2, 2.7, 15/7
MArishka [77]
15/7
5/2
2.54
2.7

That’s the order from least to greatest
3 0
3 years ago
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