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3 years ago

Use f(x) = 2 x and f-1(x) = 2x to solve the problems. F^-1(f(x))= f(f^-1(x))

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

see the procedure

Step-by-step explanation:

we have

$f(x)=\frac{1}{2}x$

$f^{-1}(x)=2x$

step 1

Find $f^{-1}(f(x))$

substitute the variable x for the function f(x)

$f^{-1}(f(x))=2(\frac{1}{2}x)$

simplify

$f^{-1}(f(x))=x$

step 2

Find $f(f^{-1}(x))$

substitute the variable x for the function f^-1(x)

$f(f^{-1}(x))=\frac{1}{2}(2x)$

simplify

$f(f^{-1}(x))=x$

step 3

Compare

$f^{-1}(f(x))=x$

$f(f^{-1}(x))=x$

therefore

$f^{-1}(f(x))=f(f^{-1}(x))$ ---> is verified

kirill [66]3 years ago

5 0

Answer: the answer is actually X

Step-by-step explanation:

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GUYS PLEASE HELP ME HELP HELP PLEASE PLEASE!!! Simplify and solve for the unknown. Use order of operations as needed. Check your

grandymaker [24]

The solution is B = 43

Step-by-step explanation:

Simplify and solve for the unknown for 5(B + 3) = 4(B - 7) + 2B

Simplify each side
Add the like terms in each side if need
Separate the unknown in one side and the numerical term in the other side to find the value of the unknown

∵ 5(B + 3) = 4(B - 7) + 2B

- Multiply the bracket (B + 3) by 5 in the left hand side and multiply

the bracket (B - 7) by 4 in the right hand side

∵ 5(B + 3 ) = 5(B) + 5(3) = 5B + 15

∵ 4(B - 7) = 4(B) - 4(7) = 4B - 28

∴ 5B + 15 = 4B - 28 + 2B

- Add the like terms in the right hand side

∵ 4B + 2B = 6B

∴ 5B + 15 = 6B - 28

- Add 28 to both sides

∴ 5B + 43 = 6B

- Subtract 5B from both sides

∴ 43 = B

- Switch the two sides

∴ B = 43

To check the answer substitute the value of B in each side if the two sides are equal then the solution is right

The left hand side

∵ 5(43 + 3) = 5(46) = 230

The right hand side

∵ 4(43 - 7) + 2(43) = 4(36) + 86 = 144 + 86 = 230

∴ L.H.S = R.H.S

∴ The solution B = 43 is right

The solution is B = 43

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11229113

#LearnwithBrainly

7 0

3 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Miguel wants to buy a condominium. He has the choice of buying it now or renting it with the option to buy at the end of 3 years

kolbaska11 [484]

Total amount paid if he bought = 6000 + 726(12 x 3) = 6000 + 726(36) = 6000 + 26,136 = 32,136
Total amount paid if he rents = 2000 + 37P, where P is the monthly rent

For renting to be cheaper
2000 + 37P < 32,136
37P < 32136 - 2000 = 30136
P < 30136 / 37 = 814.49

Therefore, the maximum rent he could pay is $814

5 0

3 years ago

Read 2 more answers

Hi so could anyone please tell me how to solve this I’ve tried looking through my notes but I can’t find a question similar to t

neonofarm [45]

Answer:

no solution

Step-by-step explanation:

There are no values of x that make the equation true.

6 0

3 years ago

Tell whether it is possible to draw a figure with the given description.

sesenic [268]

Answer:

<h2>in my opinion it is not possible </h2>

Step-by-step explanation:

hope it helps you have a good day

3 0

3 years ago