Which of the following pairs of functions are inverses of each other?

Which Of The Following Pairs Of Functions Are Inverses Of Each Other?

Answers

Answer 1

Answer:

THE ANSWER IS B

Step-by-step explanation:

IT JUST MAKES SENSE TO CHOOSE B

Answer 2

The option D pairs of functions are inverses of each other.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the inverse of a function, write the function f(x) as a function of x and then solve for x as a function of f(x).

For option A,

f(x) = 2 + ∛x

To solve for x,

∛x = f(x) - 2

x = (f(x) - 2)³

That is also the inverse So,

g(x) = (x -2)³ "Not correct"

For Option B,

f(x) = x/6 + 8

To solve for x,

x/6 = f(x) -8

x = 6f(x) - 6 *8

That is also the inverse So,

g(x) = 6x - 6 *8 "Not correct"

For Option C,

f(x) = 7/x - 9

To solve for x,

7/x = f(x) +9

x = [tex]\frac{7}{f(x) +9}[/tex]

That is also the inverse So,

g(x) = [tex]\frac{7}{x +9}[/tex] "Not correct"

For Option D,

f(x) = 5x - 11

To solve for x,

5x= f(x) + 11

x = (f(x) + 11)/5

That is also the inverse So,

g(x) =(x + 11)/5 "correct"

Thus, the option D pairs of functions are inverses of each other.

Learn more about function here:

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Related Questions

someone please help!!! ​

Answers

Answer:

A = x² + 11x + 30

Step-by-step explanation:

For a given rectangle

Length (l) = x + 5

Breadth (b) = x + 6

Now,

Area of rectangle

A = l × b

= (x + 5) × (x + 6)

= x² + 6x + 5x + 30

A = x² + 11x + 30

Thus, The area of rectangle in the form of polynomial is

x² + 11x + 30

-TheUnknownScientist

Sunday at noon, the temperature was 5 degrees below zero. Wednesday at noon, the temperature was 7 degrees above zero. Which inequality compares the two integers for this situation correctly?

Answers

Answer:

- 5° < 0 < 7°

Step-by-step explanation:

Given that:

Sunday at noon :

Temperature = 5° below Zero

Wednesday at noon

Temperature = 7° above Zero

Temperature on Sunday noon < 0 < temperature on Wednesday noon

- 5° < 0 < 7°

PLEASE HELP ME I WILL BRAINLIST YOU ​

Answers

Answer:

Pentagonal Prism

Step-by-step explanation:

It has 5 sides and a pentagon has 5 sides

Answer:

pentagonal prism

Step-by-step explanation

a pentagon is a 5 sided shape, and a prism just gives it a height, so the answer is 3

brainliest please :) its fine if you don't give me brainliest tho :p

these are all of the OC's i have made so fare what do you guys think

Answers

Answer:

Step-by-step explanation:

nice i like them

Can someone help with this

Answers

Vertical angles meet at a point of intersection and are equal. The value of x from the shown figure is 9

Vertical angles

Vertical angles meet at a point of intersection and are equal.

From the figure given, the angles are vertical angles. Hence;

7x + 3 = 10x - 24

Collect like terms

7x - 10x = -24- 3

-3x = -27

x = 9

Hence the value of x from the shown figure is 9

Learn more on vertical angles here: https://brainly.com/question/14362353

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The areas of two similar squares are 16m2 and 49m2 what is the scale factor of their side lengths

Answers

Given:

The areas of two similar squares are 16m² and 49m².

To find:

The scale factor of their side lengths.

Solution:

We know that the ratio of the areas of the similar squares is proportional to the ratio of square of there sides.

[tex]\dfrac{\text{Area of first square}}{\text{Area of second square}}=\dfrac{(\text{Side length of first square})^2}{(\text{Side length of second square})^2}[/tex]

[tex]\dfrac{16\ m^2}{49\ m^2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{4^2}{7^2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]

[tex]\left(\dfrac{4}{7}\right)^2=\left(\dfrac{s_1}{s_2}\right)^2[/tex]

Taking square root on both sides, we get

[tex]\dfrac{4}{7}=\dfrac{s_1}{s_2}[/tex]

[tex]\dfrac{s_1}{s_2}=\dfrac{4}{7}[/tex]

Now, the scale factor is the ratio of side length of second square to the side length of first square.

[tex]k=\dfrac{s_2}{s_1}[/tex]

[tex]k=\dfrac{7}{4}[/tex]

Therefore, the scale factor of their side lengths is [tex]k=\dfrac{7}{4}[/tex].

Answer: 4/7 is the right answer on Acellus

Step-by-step explanation:

What is the volume of the rectangular prism? ​

Answers

6x5x7=210

The Volume of the rectangular prism is 210cm

Any help, please!
I dont understand

Answers

the answer would be 40% :)

Miguel is buying carpeting for his bedroom. The dimensions of his bedroom are 12 ⅓ inches wide and
9 ¼ inches long. How many square feet of carpeting does Miguel need to cover his bedroom floor?

Answers

Answer:

Miguel needs 1,369/9 square inch of carpeting

Step-by-step explanation:

Here, we want to know the size of carpeting needed to cover the floor

What we have to do here is to find the area of the bedroom floor

Mathematically, we have this as the product of the dimensions of the floor;

This will give;

12 1/3 inches * 9 1/4 inches

= 37/3 * 37/3 = 1,369/9 square inches

Help me please, I've been stuck for a hot minute

Answers

Answer:

b. 5z-10 = 5(z-2)    c. c-2c^2= c(1-2c)    d. r+r+r+r= r(1+1+1+1)= 4r   e. 2x-(1/2) = (1/2)(4x-1)

Explanation:

you just need to find a common factor that you can divide out  of each term. ex. with the 5z-10 both 5z and 10 are divisible by 5, so you can factor that out. to check the answers just multiply it. if you still don't get it, look up "factoring binomials"

PLEASE HELP IM STRESSED I CANT THANK YOU :)

Answers

Answer:

125

Step-by-step explanation:

In ΔPTO we are given that

∠PTO = 90° (indicated by the right angle)

and ∠TPO = 35°

And we need to find the exterior angle (∠TOB)

If you didn't know this is the rule about exterior angles

Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle

So more specifically for this problem

∠TOB = ∠PTO + ∠TPO

Now that we have created an equation we want to plug in the values that we are given

∠TOB = 90 + 35

90 + 35 = 125

Therefore the answer is 125

can someone help me understand this question better

Answers

Answer:

do you mind zooming in more

Step-by-step explanation:

Pic from the problem

Answers

Answer:

53.2

Step-by-step explanation:

Im sorry if im wrong

Solve x2 + 8x = 24.

Answers

Answer:

-10.3 and 2.3

Step-by-step explanation:

use quadratic formula:

-8 ± √8²-4(-24) ÷ 2

= -8 ±√64+96 ÷ 2

= -8 ± √160 ÷ 2

= -8 + 4√10 / 2 and

-8 - 4√10 / 2

which is the same as -4 + 2√10 and -4 + 2√10

which is the same as -10.3 and 2.3

please help me with maths. it's a standard form topic

The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.

a) What is the diameter of bacteria species B in metres?

b) Based on your answer in (a), is the value obtained less than, greater than or equal to 1 nanometre?​

Answers

Answer:

Bacteria A has diameter size of 1 micrometer = 1 × 10⁻⁶ m

a) B is 1× 10⁻³ size of A:

1 × 10⁻⁶ * 1 × 10⁻³ = 1 × 10⁻⁹ m

b) 1 nanometer = 1 × 10⁻⁹ m

And bacteria B diameter size is equal to 1 nanometer

Please help!! I'll give brianlist!!! which points are reflections of each other across both access? ​

Answers

Answer:

(5,-6) and (-5,-6) is the correct answer

Step-by-step explanation:

Eliminate incorrect answers

(-2,8)and (2,-8) are in the opposite direction not mirroring each other

(-7,-1) and (-7,1) are on the same x axis but to close to the y axis not mirroring

(4,-3) and (-3,4) is completely off and not mirroring

* Remember the first number in the parentheses moved on the x axis then the y

Hope this helps =)

plz mark Brainly

 

Abigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles.
If she rides for 5 more days, what is the average number of miles she would have to
ride each day to meet her goal?

Answers

Answer:

20 (i think)

Step-by-step explanation:

subtraction

Can someone please help me on this problem?

Answers

Answer:

$5820.10

Step-by-step explanation:

formula:  [tex]117\sqrt[3]{n^{2} }+1264[/tex]

n = 243

[tex]117\sqrt[3]{243^{2} }+1264[/tex] = 117(38.941)+ 1264

                           = 4556.097 + 1264

                            = 5820.10

You have 3 dogs and they are playful. You decide that dogs are playful.
What type of reasoning is this?

•inductive

•deductive

Answers

Answer:

inductive

Step-by-step explanation:

X 52° Find the unknown angle measure​

Answers

Answer:

38 degrees

Step-by-step explanation:

Change 7.25 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes.​

Answers

Answer:

the answer is: 07:25 a.m.

How do I find the area of this?​

Answers

Answer:

Area of the given right triangle = 24 square units.

Step-by-step explanation:

Given triangle in the picture is a right triangle.

Area of a right triangle is given by,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Height of the given triangle = 8 unit

Base of the given triangle = 6 unit

Area of the triangle = [tex]\frac{1}{2}(6)(8)[/tex]

                                 = 24 square units

Therefore, area of the given right triangle is 24 square units.

Which quadratic expression is written in standard form?
a. (x + 3)
b. (x + 4)2
c. -X2 - 5x + 7
d. x2 + 2(x + 3)

Answers

Answer:

C.

Step-by-step explanation:

-x^2 - 5x + 7.

12. AABC is a right triangle. If AB = 3 and AC = 7, find BC. Leave your answer in simplest radical form.

A 2 square root 3
B 4 square root 3
C square root 58
D 2 square root 13

Answers

Answer:

b

Step-by-step explanation:

You multiply from left to right

A school offered its students an optional field trip. If 15 or fewer students went on the field trip, the charge for each student would be $11.50. If more than 15 students chose to go on the field trip, the charge for each student would be $10.25. 18 students opted to go on the tour, but each pre-paid $11,50. The students agreed to put the extra amount toward dinner on the trip. How much total money will be put toward dinner on the trip?​

Answers

$22.50 will be put towards dinner on the trip. They all payed $11.50, but since there were 18 people they only needed to pay $10.25. We take 11.50-10.25=1.25 and then multiply that by 18 to get 22.50.

The following data points represent the number of chicken nuggets on each family member's plate.
1,3,0, 6, ?
If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets.
nuggets

Answers

Answer:

The missing number of chicken nuggets is 5.

Step-by-step explanation:

To find the mean of this data set, we must add every number together, then divide the sum by how many numbers are present.

Like this,

1 + 3 + 0 + 6 = 10

10 / 4 = 2.5

There are 4 present numbers in this data set, and one is missing.

Since the only number divided by 5 that would give you a quotient of 3 is 15, the missing number is 5.

Because,

1 + 3 + 0 + 6 + 5 = 15

15 / 5 = 3

Therefore, 5 is the missing number of the data set.

The answer of the missing chicken nuggets is 5

Need help with a word problem! Tysm for your assistance :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

option c

hope helps you

have a nice day

Here are the diameters of four coins. A dime rolls 41.8 cm. How many rotations did it make?
Will give brainliest,

Answers

Answer:

i believe the answer is 10.5

Step-by-step explanation:

dime = 3.14 (1.8) =5.62 cm

Since the coin rolled about 10.5 cm in 4 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.

4x=41.8

x =41.8/4 =10.5cm

good luck :)

i hope this helps

**please let me know if this is incorrect**

have a nice day!

I’m very bad at slope sorry guysss!!!!!

Answers

Answer:

-4/3

Step-by-step explanation:

Dot goes down 4 (negative) and then 3 to the right (positive)

rise over run ---> -4/3!

Answer:

omg.. what is this.. I'm sorry I can't help u :)

Find all the zeroes of the polynomial x^4 − 3x^3 + 6x − 4 , if two of its zeroes are √2 and −√2 . Thanks​

Answers

Answer:

x=1 and x=2

Step-by-step explanation:

FIrst, continiuously apply syntheic divison to break it down into a quadratic.

Then, factor that quadratic.

Your zeores would be 1 and 2

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