Will mark brainly!! :)

If f(2) for f(x) = [tex]\frac{2}{x-1}[/tex]+6 is 8. then what is [tex]f^{-1} (8)[/tex]

Answers

Answer 1

Answer:

2

Explanation:

we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.

so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.


Related Questions

Which of the following are valid names for the given triangle? Check all that
apply.

Answers

Answer:

A) AXT

C) TAX

F) XTA

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

Explanation:

We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are

ATXAXTTAXTXAXATXTA

The terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.

#5: Consider the expression below. Which of the following numbers are coefficients? Select all that apply.

9x2 + 5x – 8 + 3x2

A. 9
B. 5
C. 8
D. -8
E. 3

Answers

Answer:

B

Step-by-step explanation:

the 5 in 5X.

What is the value of x in the equation 8x – 2y = 48, when y = 4?

Answers

Answer:

x = 7

Step-by-step explanation:

Substitute y = 4 into the equation and solve for x

8x - 2(4) = 48

8x - 8 = 48 ( add 8 to both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Answer:

x = 7

Step-by-step explanation:

8x - 2y = 48

y = 4

First, let's substitute y for it's actual value as we know it.

8x - 8 = 48

Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)

8x = 56

Divide both sides by 8 to get x.

x = 7

Hope this helps and I hope you have a good day!:)

kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)

where t is in seconds

What is the frequency of this motion?

Answers

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω =

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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(-14,-3) (6,10) find the slope and explain
please

Answers

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk

Answers

Given that the shape of the graph is curved, the rate of change can be

estimated by using the average value between specified points.

The points are;

[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]

Reasons:

The coordinates of the points marked (distances and time) during the walk are;

[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]

Required: Identification of two points marked on the graph that define the

interval where Samantha's average rate of change was 2/3 meters per

second.

Solution:

The average rate of change between two points is given by the ratio of

difference in the distance from the motion detector to the difference in

time between the points.

[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]

At the required points, the change in the y-values, will be 2 × a, while the

corresponding change in x-values will be 3 × a, where, a is rational number.

From the above table, at the points where the time is 6 seconds and 9

seconds, we have the following distance time ordered pair;

(6, 6), and (9, 8), from which we have;

[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]

Therefore;

The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval

where her average rate of change was 2/3 meters per second.

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Edward deposited ​$6,000 into a savings account 5 years ago. The simple interest rate is 4​%. How much money did Edward earn in​ interest? Need answer in under 10 minutes

Answers

Answer:

,..................... 6000*12*5 %4 =630

Answer:

6240

Step-by-step explanation:

It's it 6,000+4% it's = 6240

Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.

Answers

Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

x: price of each bag of popcorn. y: the price of each pretzel.

On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25.   This is expressed by 2x+5y= 37.25

Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25.  This is expressed by 8x+9y=102.25

So, the system of equations to solve is:

[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]

There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.

So, isolating the variable x from the first equation:

2x+5y= 37.25

2x= 37.25 - 5y

x= (37.25 - 5y)÷2

x= 18.625 - [tex]\frac{5}{2}[/tex]y

Replacing in the second equation:

8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25

Solving:

8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25

149 - 20y + 9y=102.25

149 -11y= 102.25

-11y= 102.25-149

-11y= -46.75

y= (-46.75)÷ (-11)

y= 4.25

Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:

x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25

x= 18.625 - 10.625

x=8

Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.

Learn more about system of equations:

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PLS ANSWER QUICK I HSVE EXAMS COMING UP VERY SOON у
42) Which equation best represents the line of best fit for this
scatter plot?
A. y = 4x - 4
B.y= 4x-2
C. y = x-4
D. y=x-2
-5-4-3-

Answers

C
If we drew a line of best fit, the gradient would be roughly equal to 1, and the y intercept would be at around -4

Could anyone help out? It's 11pm and I have finals tmrw :/

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4​

Answers

There i hope it help

Stay safe and study hard

G=4ba
Solve for A
Pls

Answers

Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

12 for every 2 male birds in a bird cage there are 5 females. What is the ratio of the males to females

Answers

the ratio is two to five

hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?

Answers

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

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#SPJ5

Round 68,533 to the nearest hundred.

Answers

Answer:

68,500

Step-by-step explanation:

68,533 <- Hundreds place is underlined

[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.

[] In this case it is a 3, so we keep it the same. We get an answer of 68,500

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update  my answer accordingly. (ノ^∇^)

- Heather

The answer is:

68,500

Explanation:

When counting, the digit 5 is in the hundredth place in the entire number.

For example:

$500 (five hundred dollars)
$6,500 (six thousand, five hundred dollars).

Therefore, whatever comes after the number 5 would become a zero.

What is three minus X equals 11

Answers

Answer:

x= -8

Step-by-step explanation:

Subtract 3 from both sides to isolate the variable

Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.

You'll end up with the equation of x= -8 if you do it correctly

-x=11-3 x=8 this is anwer

Determine whether the graph represents a function. *

Answers

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

Write an equation that represent the line

Answers

the formula that is needed is y=mx+b, so the answer is y=5/6x+2.5

How many lines of symmetry does this have it. If none put 0.​

Answers

Answer:

well a line of symmetry is a line that cuts a shape directly in half in this case there is 4

Step-by-step explanation:

HOME WORK DUE SOON PLZ HELP!!!!!

what is the slope of this graph?​

Answers

Answer

16

Step-by-step explanation:

slope go up 16 every time

HELP URGENT!!! RESPOND QUICKLY!!!​

Answers

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow. ​

Answers

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Number of revolutions × circumference

[tex] \sf500 \times 4.4[/tex]

[tex] \sf2200 \: m[/tex]

Hence distance covered = 2200 m = 2.2 km

Write the following statements in the form of equations.

a. The sum of five times p and 8 is 23.

b. If you subtract 6 from 3 times a number, you get 18.

c. One third of a number plus 7 is 26.

Answers

Answer:

a. The sum of five times p and 8 is 23.

pls help (written response pls)

Answers

Answer:

It would be Number of Hours

Step-by-step explanation:

The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"

Hope this Helps :)

2.5kg of potatoes cost 1.40
work out the cost of 4.25kg

Answers

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime

Answers

Answer:

 

If the sum of the digits of a number is divisible by 9, then that number is divisible by 9. An..... sorry if this does not help :(

Step-by-step explanation:

I NEED HELP PLEASE! Thank you

Answers

Answer:

A

Step-by-step explanation:

21 -6×3

-6×3=-18

21-18

=3

You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable​

Answers

Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

can hellp me with this plzzzzzzz no links plz

Answers

400? I’m confused what you’re asking me to do !

who wants to help i really dont wanna do this question

Answers

Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

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