Which function is the inverse of f(x) = 2x + 3
X-
F(x) = -1
o ft (x) = 1 / 2 - 2 / 2
Of(x) = -2x + 3
Of(x) = 2x+ 3

Answers

Answer 1

Answer:

[tex]\displaystyle f^{-1}(x)=\frac{x-3}{2}[/tex]

Step-by-step explanation:

The Inverse of a Function

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

y = 2x + 3

* Solve the equation for x.

y - 3 = 2x

[tex]\displaystyle x=\frac{y-3}{2}[/tex]

* Swap the variables:

[tex]\displaystyle y=\frac{x-3}{2}[/tex]

Write back into function form. This is the inverse function:

[tex]\mathbf{\displaystyle f^{-1}(x)=\frac{x-3}{2}}[/tex]


Related Questions

Need help don’t understand

Answers

Answer:

1. x=24

2. x=37

3. x=-8

4. x=-18

5. x=5

Step-by-step explanation:

I'm guessing you're trying to solve for x :)

Clare travels at a constant speed, as shown on the double number line.
distance (miles) 0 ,72, 144, 216
elapsed time (hours) 0, 2, 4, 6
How far does Clare travel in one hour?
How far does Clare travel in three hours?
How far does Clare travel in 3.5 hours?

Answers

Answer:

How far does Clare travel in one hour?

A: 36

How far does Clare travel in three hours?

A: 108

How far does Clare travel in 3.5 hours?

A: 126

Step-by-step explanation:

Find the Unit Value

72/2 = 36

Clare travels 36 miles per hour

Therefore, you must multiply the hours by the Unit travel time for the answers.

1 X 36 = 36

3 X 36 = 108

3.5 X 36 = 126

What is the slope of the line on the graph below?

Answers

Answer:

The slope is 1

Step-by-step explanation:

Slope is the steepness of a line and so what I do is i use y/x or rise over run

so for the x it goes up one and so is with the y

y/x = 1/1= 1

So your slope is 1!

Hope this helped :D

Answer:

1

Step-by-step explanation:

We find the slope by using the formula y-y1 over x-x1. so to find the slope in this problem we need to choose two points and use the formula. When I solved it I chose points (0,1) and (1,2). When we plug these values into the formula we get 2-1/1-0. 2-1 is 1 and 1-0 is 1. 1/1 simplifies to 1.

A pound of strawberries costs $6.59 and a pound of watermelon costs $3.27. What is the combined cost of 2 pounds of strawberries and 4 pounds of watermelon?

Answers

Answer:

26.26

Step-by-step explanation:

1. First, multiply 6.59 by 2 since your looking for 2 pounds of strawberries. Answer = 13.18

2. Second, multiply 3.27 by 4 since your looking for 4 pounds of strawberries. Answer = 13.08

3. Last but not least, add both of the answers together. Answer to whole question = 26.26 pounds of strawberries and watermelons

Here's what we're given:

1 lb strawberries = $6.59 (where the cost equals price × lb)

1 lb watermelon = $3.27 (where the cost equals price × lb)

c = combined cost (this is what we're looking for)

c = cost of strawberries + cost of watermelons

Going by the definition of strawberries' and watermelons' costs (cost is price times pounds), replace with variables.

c = (2 × $6.59) + (4 × $3.27)

c = 13.18 + 13.08

c = 26.26

c = $26.26

Help me please
I will give brainliest

Answers

Answer:

23

Step-by-step explanation:

if you want the steps lmk in the comments (not everyone wants them). hope this helps Happy Holidays

The researcher decided to use a 95% confidence interval with a maximum error of 0.05 to estimate p, the proportion of old factory sites in the U.S. where toxic clean-up will be required before the sites can be reused. How large a sample does she need?

Answers

Answer:

The sample size is  [tex]n = 384 [/tex]  

Step-by-step explanation:

From the question we are told that

     The margin of error is [tex]E = 0.05[/tex]

Here we will assume that the sample proportion is  [tex]\^ p = 0.5[/tex]

 From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=> [tex]n = [\frac{1.96 }{0.05} ]^2 * 0.5 (1 - 0.5  ) [/tex]        

=> [tex]n = 384 [/tex]    

Which equation best represents the relationship between x and y in the graph?

Answers

Answer:

y= -4x - 3

Step-by-step explanation:

the Y intercept is -3 and your slope is -4

the reason you are subtracting instead of adding is because the line is going down which means it is negative.

I hope the helps :)

whats 12^2 pls help im rly not smart

Answers

144 (12x12) because you have to times 12 by itself because there’s a 2 so 12x12

Which expression represents the following phrase? 12 less than 42 A.) 12 − 42 B.) 42 − 12 C.) −42 − 12 D.) 42 − (−12)

Answers

The expression that represents the phrase. B.) 42 - 12

Answer:42-12

Step-by-step explanation:

A store is having a sale on walnuts and chocolate chips . For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12. For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30. Find the cost for each pound of walnuts and each pound of chocolate chips

Answers

Answer:

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75

Step-by-step explanation:

Let:

Cost of one pound of walnuts = x

Cost of one pound of Chocolate chip = y

Now making equations from the statements.

For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12: [tex]3x+2y=12[/tex]

For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30: [tex]5x+6y=30[/tex]

We need to solve these equations to find values of x and y

Let:

[tex]3x+2y=12--eq(1)\\5x+6y=30--eq(2)[/tex]

Multiply eq(1) by 3 and subtract both equations

[tex]9x+6y=36\\5x+6y=30\\- \ \ \ - \ \ \ \ -\\-------\\4x=6\\x=\frac{6}{4}\\x=1.5[/tex]

Now, finding value of y bu putting value of x, x= 1.5 in eq(1)

[tex]3x+2y=12\\3(1.5)+2y=12\\4.5+2y=12\\2y=12-4.5\\2y=7.5\\y=\frac{7.5}{2}\\y=3.75[/tex]

So, we get value of y: y=3.75

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75

12 + 18 please tell me I need help

Answers

Answer:

1

12

+

18

___

30

Step-by-step explanation:

Can anyone help with this?

Answers

Answer:

AD = 15

Step-by-step explanation:

Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: [tex]\sqrt{a^{2}+b^{2}}[/tex] where a and b are the legs of the triangle.

In triangle BDC, we can put in the formula to find BD.

85 = [tex]\sqrt{77^{2}+BD^{2}}[/tex]

85² = 77² + BD²

7225 = 5929 + BD²

BD² = 7225 - 5929

       = 1296

BD = [tex]\sqrt{1296}[/tex]

BD = 36

In triangle ABD, we can put in the formula to find AD.

39 = [tex]\sqrt{36^{2}+AD^{2}}[/tex]

39² = 36² + AD²

1521 = 1296 + AD²

AD² = 1521 - 1296

       = 225

AD = [tex]\sqrt{225}[/tex]

AD = 15

What decimal number does point A on the number line below represent? A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25

Answers

Answer:

-.75

Step-by-step explanation:  hope this also helps

Answer:

-075

Step-by-step explanation:

What is an equation that passes through the points (3,-4) (-6,-8)

Answers

Answer:

9y=4x-48

Step-by-step explanation:

first find the slope

m=4/9

then determine one point and use formula

y-(-4)=4/9(x-3)

Rafael reads 3/4 chapters in 4/5 hours

Answers

I do not know the full question being asked, but if he reads 3/4 chapters in 4/5 hours, he would read 6/4 chapters, or 1 1/2 chapters in 1 3/5 hours.

Please mark Brainliest if helpful!
If this isn’t your question, please provide it fully in the comments of this answer. :))

15% of the 50 donut holes in the box were chocolate. How many chocolate donut holes were in the box?​

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.5 chocolate holes

Step-by-step explanation:

A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If you use 6 teaspoons of vanilla, how many cups of flour should you use

Answers

Answer:

15 cups of flour

Step-by-step explanation:

if the vanilla is going from 2 - 6 then it is being multipled by 3. Therfore you should multiply the flour (5) by 3, which makes the total flour to be 15 cups.

Answer:

15

Step-by-step explanation:

CUPS TEASPOONS

5 2

10 4

15 6

Brad is 5 years older than Matt. George is 6 less than
twice Matt's age. The sum of their ages 99. How old is
each of them?

Show work please

Answers

Answer:

Matt=25y, George =44y, Brad=30y

Step-by-step explanation:

Brad=B

Matt=M

George=G

Year=y

Then we have:

Matt=y

Brad is 5 years older than Matt⇒B=(M+5)y

George is 6 less than  twice Matt's age⇒G=(2M-6)y

The sum=B+G+M=(M+5)+(2M-6)+(M)=90

So we can get age of Matt (M) By:

(M+5)+(2M-6)+(M)=90

4M-1=99

4M=100  dividing by 4

M=25 ⇒ Matt=25y

G=(2M-6)y=(2*25)-6=44 ⇒ George =44y

B=(M+5)y=25+5=30y ⇒ Brad=30y

hope this helps

miguel is posting photos on school website hi has 48 photos and he followed 12 pages he whant to put the same number put of photos ,p, on each page

Answers

Answer:

4

Step-by-step explanation:

48/12=4

Answer:

12p = 48

Step-by-step explanation:

We already know Miguel has 48 photos already selected, with 12 pages to chose from. Since we want to figure out an equation for the number of photos  Miguel is going to put on each page, you would have to do this: we do know the number of pages Miguel has but we don't know how many photos per page. So, you would write 12p for the unknown number of photos per page. Since he already has 48 photos and the 48 will not be affected during this equation, the answer to the equation would equal 48. So, the final answer would be 12p = 48

Challenge In a company, 80% of the workers are men. If 1,180 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem, There are workers in all ​

Answers

Answer:

4720

Step-by-step explanation:

I can't show the pencil or paper :/

1180(4) = 4720

4720/4 = 1180

In a company, there are 5,900 workers can work.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

In a company, 80% of the workers are men.

And, 1,180 people work for the company who aren't men.

Let total workers in a company = x

So, we can formulate;

In a company, 80% of the workers are men.

⇒ 20% of workers are not men's.

Here, 1,180 people work for the company who aren't men.

Hence, We get;

⇒ 20% of x = 1180

⇒ 20 / 100 × x = 1180

⇒ 20x = 1180 × 100

⇒ x = 1180 × 5

⇒ x = 5900

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

A laptop has a listed price of $652.95 before tax. If the sales tax rate is 8.25%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

Answer:

$706.82 total cost for laptop

Step-by-step explanation:

$652.95 x .0825 = $53.868.    (Move decimal twice to the left to change % to decimal)

$652.95 + $53.868 = $706.818 = $706.82

What is the percent of change from 75 to 84?

Answers

Answer:

12%

Step-by-step explanation:

Which expression represents “the product of 7 and a number increased by 2”?

Answers

The product of means that there are two numbers being multiplied.

The two numbers are 7 and x + 2. So the expression is 7(x + 2), or, expanded, 7x + 14.

i hope this helps! :D

PLEASE HELO MY FIND THE SLOP OF A LINE

Answers

Answer: -3

Step-by-step explanation:

Find slope using the slope formula y2-y1/x2-x1. I'll use the points (-3,5) and (-2,2) so 5-2/-3-(-2) = 3/-1 = -3

Answer:

3

Step-by-step explanation:

What kind of function is represented in the picture?
1. Linear
2.Non linear
please help

Answers

linear; because they each have different inputs and outputs i’m pretty sure

PLEASE HELP FAST ITS TIMED I BEGGING YOU I PROMISE I WILL GVOE BRSINLIST FOR CORRECT ANSWER

Answers

Answer:

d) 4

For the second question, just plug in the x value and isolate the y value

Step-by-step explanation:

1. 9y=36-13x

y=4-13/9 x

4 is the y-intercept

Answer:

d and (- 4, 33 )

Step-by-step explanation:

Given

13x + 9y = 36

To find the y- intercept, substitute x = 0 into the equation and solve for y

13(0) + 9y = 36, that is

0 + 9y = 36

9y = 36 ( divide both sides by 9 )

y = 4 ← y- intercept

---------------------------------------------

Given

y = - 6x + 9 and (- 4, y) then substitute x = - 4 into the equation

y = - 6(- 4) + 9 = 24 + 9 = 33

Thus (- 4, 33 ) is the ordered pair

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.
a. True
b. False

Answers

Answer:

b. False

Step-by-step explanation:

The binomial distribution model allows us to compute the probability of successes when the process is repeated a specific number of times.

The  binomial distribution model is given as;

[tex]P(X) = \frac{n_!}{x! (n-x)!} P^x (1-P)^{(n-x)}[/tex]

n is the number of times the process is repeated,

x is the  the number of successes,

p is the occurrence of the outcome of interest,

Thus, the probability of elapsed time is best determined with Exponential distribution.

Thus, the correct option is "b"

PLEASE HELP WILL GIVE BRAINLEIST

Answers

Answer:

(3, -4)

Step-by-step explanation:

For this problem you just need to find the distance between each of the x values and each of the y values.

The difference between -2 and -7 (-7 - -2) is -5, so the x coordinate of point B should be 3 (-2 - -5).

The difference between 2 and -1 (2 - -1) is 3, so the y coordinate of point B should be -4 (-1 - 3).

Finding the function of y=-2/3x +2​

Answers

Answer:2 x + 3 y = 6

Step-by-step explanation:

in standard form

Please help this is timed! I’ll give brainliest.

Answers

Answer:

1. Function 1

2. Function 3

3. Function 2, Function 3, and Function 4

Step-by-step explanation:

I did this for someone else and it took me a long time to explain, so here's the answers since this is timed.

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