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3 years ago

Plz help!!!

Mathematics

2 answers:

Harman [31]3 years ago

7 0

we know that f(1)=2 so f^-1(2)=1

so B is correct!

Sholpan [36]3 years ago

4 0

Answer: The correct option is

(B) $f^{-1}(x)=\dfrac{1}{x-1}.$

Step-by-step explanation: We are given to select the correct expression that is the inverse of the following function :

$f(x)=\dfrac{x+1}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let y denotes f(x). Then,

$y=f(x)~~~~~~\Rightarrow x=f^{-1}(y).$

Substituting this value in equation (i), we get

$f(x)=\dfrac{x+1}{x}\\\\\\\Rightarrow y=\dfrac{f^{-1}(y)+1}{f^{-1}(y)}\\\\\\\Rightarrow yf^{-1}(y)=f^{-1}(y)+1\\\\\Rightarrow yf^{-1}(y)-f^{-1}(y)=1\\\\\Rightarrow (y-1)f^{-1}(y)=1\\\\\Rightarrow f^{-1}(y)=\dfrac{1}{y-1}\\\\\Rightarrow f^{-1}(x)=\dfrac{1}{x-1}.$

Thus, the required inverse of the given function is

$f^{-1}(x)=\dfrac{1}{x-1}.$

Option (B) is CORRECT.

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If natalie and her friends decide to rent 4 lanes at reguler cost for a party ten people need to rent shoes and 4 people are mem

taurus [48]

The question is missing a tabular data. So, it is attached below.

Answer:

The total cost for the party is $74.50.

Step-by-step explanation:

Given:

Lanes rented at regular cost = 4

Cost of 1 lane rented at regular cost = $9.75

Cost of 1 lane rented for members = $7.50

Cost of 1 shoe rental at regular cost(non members) = $3.95

Cost of 1 shoe rental for members = $2.95

Since, lanes are rented at regular cost, we use unit rate at regular cost

So, cost of 4 lanes rented = $4\times 9.75= \$ 39$

Now, out of 10 people who rented shoes, 4 are members. So, the number of non-members is given as:

Non members who rented shoes = 10 - 4 = 6

So, 4 members and 6 nonmembers rented shoes.

So, cost of 6 non members renting shoes = $6\times 3.95=\$ 23.70$

Cost of 4 members renting shoes = $4\times 2.95=\$ 11.80$

Total cost for the party is the sum of all the costs. This gives,

= 39 + 11.80 + 23.70

= 50.80 + 23.70

= $74.50

Therefore, the total cost for the party is $74.50.

5 0

3 years ago

Hello Brainly Teacher Brainly Moderators and trusted helpers!

tatyana61 [14]

Answer:

P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

Mean grade μ = 86,
Standard deviation σ = 4,
Grade limit x = 84.

Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

z = (x - μ)/σ

Substitute values and calculate:

z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

P(x < 84) = 0.30854 or approximately 31%

4 0

2 years ago

A student says that (-1, 2) is a solution of y=3x-2 Are they correct or incorrect? Why?

Nina [5.8K]

Answer:

If you substitute (-1,2) meaning x and y

2=3(-1)-2

2=-3-2

2= -1

Step-by-step explanation:

he's incorrect since the solution does not equal 2 on both sides

3 0

3 years ago

Which table represents a function?

zalisa [80]

Answer:

Step-by-step explanation:

to be a function, there has to be exactly one x for every y. if there is more than one per y, it makes it not a function. so, if there is two of the same number in the x, it's not a function.

7 0

3 years ago

An equation is shown below:

Anarel [89]

I would have to go with the first one because 2(3x-5)=1 is the same as 6x-10=1
then all you have to do is divide 11 by 6 and the answetr should be c or in this case x=1.83
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4 0

3 years ago