1 If f(x) = 1/2x + 14, then f ^-1(x)=

Answers

Answer 1

Answer:

2x-24

I think that you changes the problem...

you went from a derivative to an inverse ???

y = 1/2x + 14

x = 1/2 y + 14

2x = y + 24

y = 2x-24

Step-by-step explanation:

Answer 2

Answer:

[tex]f^{-1}[/tex] (x) = 2x - 28

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{2}[/tex] x + 14 ( multiply through by 2 to clear the fraction )

2y = x + 28 ( subtract 28 from both sides )

2y - 28 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = 2x - 28


Related Questions

helppppppppppppppp me

Answers

Answer:

42

Step-by-step explanation:

5²+3(2)+5+6

25+6+5+6

31+11

42

Hope it helps

Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)

Answers

Answer:

(n-2)180

Step-by-step explanation:

Let us assume the number of sides is 'n'.

So,

The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180

A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet

Answers

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

If every 1,000 views is 2 cents how much would I have if it was 100,000 views

Answers

Answer:

It's answer is 200 cents bun not sure

Find the volume of a sphere
with a radius of 6. Use 3.14 for n and round
the answer to the nearest whole number

Answers

Answer: Approximately 904

volume = (4/3) · π · r³

r = 6π = 3.14

(4/3) · 3.14 · 6³ = (4/3) · 3.14 · 216 = (4/3) · 678.24 = 904.32 ≈ 904

Answer:

904 units^3

Step-by-step explanation:

The formula for finding the volume of a sphere is V = 4/3 πr³

π is assumed to be 3.14, and the radius is 6.

V = 4/3 * 3.14 * 216

V = 4.18666666 * 216

Volume = 904.32, which can be rounded to 904 units cubed

Refer to the diagram for Exercises 1-3.
125°



what is the value of y z and x

Answers

Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

2899
Ghzhdbnhjhb. Hfuffryfygdufgh


What is the area? Please help!!!

Answers

Answer: 96 ft²

Step-by-step explanation:

This figure can be divided into two rectangles:

The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.

Find the area of both rectangles:

The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²

Add them together to find the total area of the figure:

84 + 12 = 96 ft²

Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?

Answers

Answer:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

Step-by-step explanation:

Given

[tex]\angle 1[/tex] and [tex]\angle 2[/tex]

Required

The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]

From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary

Supplementary angles add up to 180.

So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:

[tex]\angle 1 + \angle 2 = 180^o[/tex]

Find the equivalent exponential expression.
(4^2)4

Answers

Answer:

4^8

Step-by-step explanation:

If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.

(4^2)^4 = 4^(2 * 4) = 4^8

(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)

Answers

Answer: 60

Step-by-step explanation:

The blank space can be filled with 60, as this is a simple problem of distributive property

60
(60+24)/3=(60/3)+(24/3)
84/3=20+8
28=28

When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?

Answers

32 - 7 = 25/5 = 5

so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.

hope it helps :)

Answer:

5 items

Step-by-step explanation:

32 - 7 = 25

25 / 5 = 5

This means that 5 items are being purchased.

Hope it helps c:

write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse​

Answers

Answer:

C=(9F-32)/5

inverse​:

Step-by-step explanation:


Hey can anyone help me with this please? :)

Answers

Answer:

1.8 x 10^7 gallons in one hour.

Step-by-step explanation:

60 x 60 = 1,200 = 1.2 x 10^3 (Amount of seconds in an hour)

(1.5 x 10^4) x (1.2 x 10^3)

= 1.8 x 10^7

what is the slope of the line(image is above)
please help me, this is worth 70 points guys!!!

Answers

Answer:

1

(3,0)(0,-3)

-3 - 0 /0 - 3 = -3/-3 = 1

Step-by-step explanation:

Step-by-step explanation:

To find the slope of this line get any points along the straight line since the slope along a straight line is the same throughout, you can actually get (2,-1)(1,-2)

m=y2-y1/x2-x1

= -2+1/1-2

=-1/-1

=1

I hope this helps

What is the product of 2x and 4x2−3xy+y2?

A.6x3−x2y+xy2
B.8x3−6x2y+2xy2
C.2x3−x2y−xy2
D.6x3−5x2y+2xy2
E.−8x3+6x2y−2xy2
Please help

Answers

[tex]\bf \large \rightarrow \: \:2x \: \: ( \: 4 {x}^{2} \: - \: 3xy \: + \: {y}^{2} \: )[/tex]

[tex]\bf \large \rightarrow \: \: 8 {x}^{3} \: - \: 6 {x}^{2}y \: + \: 2x {y}^{2} [/tex]

Option ( B) is the correct answer

Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
2021 Edmentum. All rights reserved.

Answers

The diagram is missing and so i have attached it.

Answer:

Next step is;

to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Step-by-step explanation:

A perpendicular line is to be drawn to line GH through point A.

The steps are;

1. Identification of the two end points of the line which has been done.

2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.

3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.

4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.

This line is the perpendicular line to GH.

In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.

Answer:

to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Step-by-step explanation:

Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.​

Answers

Answer:

13. 10

14. 51

Step-by-step explanation:

Answer:

13. 10

14. 51

Step-by-step explanation:

Which is equivalent to x3y–7? x cubed y Superscript 7 StartFraction x cubed Over y Superscript 7 EndFraction StartFraction x cubed Over y Superscript negative 7 EndFraction StartFraction y Superscript 7 Over x cubed EndFraction

Answers

Answer:

[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]

Step-by-step explanation:

Given

[tex]x^3y^{-7}[/tex]

Required

The equivalent

We have:

[tex]x^3y^{-7}[/tex]

Apply the following rule of exponents

[tex]a^{-b} = \frac{1}{a^b}[/tex]

So, we have:

[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]

[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]

Answer:

the 2nd one or B

Step-by-step explanation:

Question Two please help

Answers

Answer:

The similarity statement is RTS and ACB. Other options are correct

How many solutions exist for the mixed-degree system graphed below?

Answers

The answer is one solution. Hope this helps

Answer:

The answer is one.

Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0

Answers

Answer:

-4, 4, 7i, -7i

Step-by-step explanation:

Basically any or each bracket must be equal to 0. If x^2+16 = 0, then x can be 4 and -4, and if x^2+49 is 0, then x =7i or -7i

Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5

Find:(f + g)(x)

Answers

Answer:

2x^2-3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x^2 + 4x - 5

(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5

Combine like terms

       = 2x^2-4x+4x+2-5

      =2x^2-3

Answer:

2x ^ 2 - 3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x ^ 2 + 4x - 5

(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5

= 2x ^ 2 - 4x + 4x + 2 - 5

= 2x ^ 2 - 3

Please friends give me the answer with steps .

Answers

a=140
b= 20

The 70° angle creates a 140 degree arc. Inscribed angles equal 1/2 of arc created.
The central angle (a) is equal to the arc.
So, angle ‘a’ = 140.
The triangle is isosceles, so the base angles are equal.
180-140=40
40/2 = 20

NOW ASAP I NEED HELP ON THIS FAST PLEASEEEEEEEEEEEEE

Answers

Answer:

fourth time ...

same problem...

the red line crosses a corner of a box at (4,20) and (2,10)

20/4 = 5

and

10/2 = 5

the slope , constant, gradient for this relationship is "5"

Step-by-step explanation:

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)

Answers

Answer:

(−∞,−1) interval is is the function decreasing..

Step-by-step explanation:

Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7

To find : On which interval is the function decreasing?

Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.

The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.

As we notice it is increasing on the interval (-1,\infty)(−1,∞)

Decreasing on (-\infty,-1)(−∞,−1)

Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...

The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]

The parent function is given as:

[tex]f(x) =|x|[/tex]

The transformed function is given as:

[tex]g(x) =|x + 1| - 7[/tex]

Both functions are absolute value functions, and an absolute value function is represented as:

[tex]y=a| x-h |+k[/tex]

Where, the vertex of the function is:

[tex]Vertex = (h,k)[/tex]

By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:

[tex](h,k) = (-1,-7)[/tex]

[tex]a= 1[/tex]

Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.

This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.

Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]

Read more about transformation at:

https://brainly.com/question/5757291

(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped​

Answers

Well if it was a square all the sides would be the same, so you could multiply 68.5 by four and if it equals to 274 which is does that would prove it’s a square

Answer:

68,5*4=274 nên cái ao đó là hình vuông

Step-by-step explanat

4*a là chu vi hình vuông

Find the value of each variable

Answers

Answer:

Step-by-step explanation:

30

Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.

Answers

Answer:

136

Step-by-step explanation:

Surface area=2*(lb+bh+lh)

=2*(12+42+14)=2*68=136

In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used

Answers

Answer:

Stratified sampling

Step-by-step explanation:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Divided by groups(according to age)

A certain amount of each group is sampled.

Thus, stratified sampling is used.

Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation
as viewed from Y of the composite shape.​

Answers

Answer:

Nice job dude

Step-by-step explanation:

Other Questions
The process during which cells of the body harness energy from food consumed by a living organism is ______________________. A 250g piece of gold is at 19 C. 5.192 kJ of energy is added to it by heat. The specific heat of gold is 129 J/(kgC). Calculate its final temperature.We heat a 25g sample of metal from 10 C to 100 C. 1.082 kJ of energy is added to it by heat. Calculate the specific heat of the metal. 9. Sergio and Isabella are currently working full-time jobs. They are about to have their first child and are trying to decide if they are both going to keep working. What disadvantage will likely face ithey choose a dual Income option? Use the order of operations to simplify 3/4+8(2.50-0.5). .................................................... what is Mortality rate???? Which of these is a symbol to look for in A Raisin in the Sun? Describe the events that occur in an efficient market in response to new information that causes the expected return to exceed the required return. What happens to the market value find the missing length indicated Why do you think the author used this allusion to Apollo in his writing? An item is regularly priced at $95. It is on sale for 85% off the regular price. A production process has six subsequent stages, each with their own specific resources and performing crucial tasks. Four of these stages have a capacity of 20 units per hour, while the other two stages have a capacity of 10 units per hour. What is the best conclusion? 4)The measure of the linear density at a point of a rod varies directly as the third power of the measure of the distance of the point from one end. The length of the rod is 4 ft and the linear density is 2 slugs/ft at the center, find the total mass of the given rod and the center of the mass A nonnative species of plant is introduced into a forest. Which of thefollowing would be most likely to prevent this plant from becoming aninvasive species?O A. The plant is able to reproduce quickly in this ecosystem.OB. The forest ecosystem lacks animals that eat the plant.O C. The forest ecosystem has very low biodiversity.O D. The plant must compete with tough native species. A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate1.the coordinate of M and N 2./AB/, correct to one decimal place3.The eqation PQI need answers urgently.pls the guys is wrong i checked Square 1 has an area of 24 square units. If square 2 is half the size, what is the ratio of the area of square 1 to square 2. can u answer this !? Why did totalitarian governments control culture, such as books and films? to ensure that all citizens had access to the arts to support writers, directors, and other artists to prevent culture from playing any role in society to make sure that all culture followed state ideology Joe's manager, Claire, is very busy this week at the warehouse. Joe has been placed in charge of finding room for some new deliveries but he has some questions to ask Claire. Which behavior would demonstrate that Joe respects her time ? a) Calling Claire after work hours to discuss his questions b) Booking a two-hour meeting for tomorrow to discuss all his questions at once c) Emailing Claire a long list of questions d) Booking a ten-minute meeting to discuss his most urgent questions