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

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


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

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:

helppppppppppppppp me

Answers

Answer:

42

Step-by-step explanation:

5²+3(2)+5+6

25+6+5+6

31+11

42

Hope it 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


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

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

Find the value of each variable

Answers

Answer:

Step-by-step explanation:

30

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

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

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:

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

Question Two please help

Answers

Answer:

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

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]

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:

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

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

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:

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.

(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

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.

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

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:

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

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:

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 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

(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

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