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tino4ka555 [31]
3 years ago
14

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

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Let y = f(x)

y = (1 + e^x)/(1 - e^x)

Exchange places with x and y.

x = (1 + e^y)/(1 - e^y)

Now solve for y.

y = log[(x + 1)/(x - 1)]

Replace y with the inverse notation.

f^(-1) x = log[(x + 1)/(x - 1)]

Done!
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Determine whether each table represents a linear quadratic or exponential function
Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0
3 years ago
What is a word that start with O and end X????? Number 5.
Alisiya [41]
Ox......,,,,,,,,,,,,,,,,,,   
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5 0
3 years ago
Write an algebraic expression for the word phrase c divided by 7.
Y_Kistochka [10]

Answer:

D. c/7

Step-by-step explanation:

An algebraic expression refers to the equation. In the question, it says to divide a number (c) by seven, giving you c/7

5 0
3 years ago
If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue?
joja [24]

Answer:1,0.5, or 0 it depends

Explanation:

The probability that one event occurred depends on the total of random event, being 1 the most of the probabilities

If the two marbles are blue the probability to select a marble blue is 1

If one of the marbles is blue and the other marble is of any color the probability to select the blue marbles is:

P=1 - 1/2=1/2

Being 1/2 or 0.5 the answer

If any of the marbles are blue then the probabilities are 0

8 0
3 years ago
Could anyone help me with this? Thanks
NeTakaya

Answer:

M: (2,-2)

N: (1,2)

O: (2,-4)

P: (5, -2)

Step-by-step explanation:

What you would do is find out where the two lines intercross. The 2 right quadrants are positive. The two left are negative. Count the lines and figure out the ordered pair. X is left and right, y is up and down. For example, if you were given a ordered pair, (4,-2) you would go up four, and left 2.

7 0
3 years ago
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