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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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Answer:

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate.

5 0
2 years ago
:))))))))))))))))))))))))))))ty
goldenfox [79]

Answer:

I/rt =P

Step-by-step explanation:

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2 years ago
Suppose that farmer's grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the
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5 0
3 years ago
Read 2 more answers
If anyone could help?
Trava [24]

Answer:

y=\frac{5}{7}x and y=\frac{7}{9}x

Step-by-step explanation:

A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.

In y=\frac{5}{7}x when x=3, y=15/4≈2.14

In y=\frac{3}{5}x when x=3, y=1.8

In y=\frac{7}{9}x when x=3, y≈2.33

In y=\frac{7}{11}x when x=3, y≈1.90

We can observe that in two cases, y=\frac{5}{7}x and y=\frac{7}{9}x, y is greater than 2.


5 0
2 years ago
Someone help me solve this and could you explain why too?
yulyashka [42]

Answer:

3.5

Step-by-step explanation:

Well its easiest to just plug in the answers and see like 2 times 3.5 is 7.

Another way is saying 7 divided by 2 is 3.5

then u check to make sure its the same for all the numbers.

Which it is because 21 divided by 6 is also 3.5 :)

5 0
3 years ago
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