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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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An insurance company is setting out its policy for the next year. The chance that a customer (on average) survives another year

Doss [256]

Answer:

The expected loss is $E =$ $6980

Step-by-step explanation:

From the question we are told that

The chance that a customer survives another year is p =0.96

The rate at which the policy is sold is r = $85 per month

The rate at which the policy is sold per year is R = $85 * 12 per year

= $1020 per year

The amount paid the the beneficiaries is $A =$ $200,000

The expected value of profit/loss for this company is mathematically represented as

$E = R -[ (1-p)*A]$

substituting values

$E = 1020 -[ (1-0.96)*200000]$

$E = 1020 -8000$

$E =$ - $6980

The negative sign shows that it is a loss

7 0

3 years ago

A $4000 deposit in an account after 1 year with an APR of 3.6. How much is the balance after 1 year?

BaLLatris [955]

Hi!
Let's divide 4000 by 1000 to see what .1% would be: $4.
Now we multiply 4 by 36 to get 3.6% of 4000: $ 144
Add 4000 and 144 together:40144.
hope this helps!

5 0

4 years ago

PLEASE HELPP Which equation is parallel to y = –3 x + 4 and passes through the point (–3 , 4)? y = –3 x – 5 y = 13 x + 3 y = –3

wolverine [178]

Answer:

A.(-3,4) is your answer.

Step-by-step explanation:

-3x+4

For A:

x=-3

y=4

Plug in 3 where x is and multiply -3 x -3, which equals 0.

Then you plug in 4 where y is, so then your equation is (4=0+4)

Then you add 0 +4, which sum is 4.

Final equation is 4=4, so yes your answer is A. (-3 , 4)

Can you mark me brainliest anwer.

6 0

3 years ago

At a school

Liula [17]

Answer:

197 students (rounded to the nearest whole number)

Step-by-step explanation:

first I divided 11 by 114 to find out how much girls there are to every one boy and my answer was 10.36 (rounded to the nearest 2 d.p).

next I times it by eight according to the ratio given, my answer was 83 (rounded to the nearest whole number)

finally, I just added 114 and 83 together to get the total number of students and my answer to that was 197 (rounded to the nearest whole number)

hope it helped

8 0

3 years ago

PLEASE HELP!!!!!!!!!! GIVING BRAINLIEST, THANKS AND FIVE STARS!!!!!!

aev [14]

Vas happenin!!

1. 12
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 12.

2. 3

The factors of 39 are: 1, 3, 13, 39

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 3.

3. 14

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

4. 24

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Then the greatest common factor is 24.

5. 13

The factors of 65 are: 1, 5, 13, 65

The factors of 91 are: 1, 7, 13, 91

Then the greatest common factor is 13.

6. 1

The factors of 7 are: 1, 7

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 1.

Hope this helps you *smiles*

5 0

3 years ago

Read 2 more answers