Vhat is the domain of the function y = In {-x+3/2}

Answers

Answer 1

Answer:

(-∞,3/2),{xIx<3/2}

Step-by-step explanation:

Answer 2

Using inverse function concepts, the correct option is:

B. Domain: x < -2 Range: y> 3

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in

here, we have,

we know that,

The domain of a function is the set that contains all possible input values.

The range of a function is the set that contains all possible output values.

In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.

For the original function, the domain is x > 3 and the range is y < -2.

Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.

learn more on domain at :

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#SPJ7

Complete question:

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?

A. Domain: x>3 Range: y2 -2

B. Domain: x2 -2 Range: y> 3

C. Domain: x>-2 Range: y> 3

D. Domain: x2 3 Range: y> -2 ​


Related Questions

someone please help me answer this!!1

Answers

Answer:

b = 9m is the answer.

Step-by-step explanation:

a = 12m

b = ?

c = 15m

According to the Pytagorean theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9

∴ The slide is 9m away from the monkey bars.

I need help hurry!!!!​

Answers

Answer:

none of the above is a pythagorean triple

find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Answers

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

Find the slope of the line through the two points. (3, 7) and (4, 9)

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(4-3)

m=2/1

m=2

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong

What is the measure of ABC

Answers

Answer:

63

Step-by-step explanation:

angle abc =half of arc DE + half of arc AC

please help me asap!​

Answers

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

Choose all that are true. A square is a

Answers

A square is a Shape.
Because it wanted to be one

Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*

1.) 0.348483
2.) 1.01
3.) -1
4.) 0.99
5.) 0
6.) -0.5

Answers

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

Find P(4).
A 1/8
B 1/4
C 1/2

Answers

The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.

Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0

Answers

Answer:

x=-8

x=-6

Step-by-step explanation:

Don't really know how to explain this. I never was good at completing the squares.

Hope that this helps!

Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1

Answers

Answer:

i think the answer is 5x+1 that how i was taught srry if its wrong

help pls giving branliest

Answers

Answer:

https://youtu.be/TZbTr1oBwKU

A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as​ students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.

Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?

Answers

Answer:

a) "engaged" is a quantitative and continuous variable.

b) The sample proportion of students in this high school district who are engaged is 0.4222

Step-by-step explanation:

Given the data in the question;

Polling reports shows that 0.34 12th grade students are engaged

the principal surveyed 90 of the 3600 students,

number of students reported to be engaged is 38

a)

"engaged" is a quantitative and continuous variable.

b) the sample proportion of students in this high school district who are engaged.

Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed

so

Sample proportion of engaged = 38 / 90

Sample proportion of engaged = 0.4222

Therefore, the sample proportion of students in this high school district who are engaged is 0.4222

help due tonight.. *no links please*

Answers

Answer:

supplementary angle = angle 2 and angle 3

vertical angle = angle 2 and angle 4

hope it helps

Giving ALOT of points for this
On Friday, three friends shared how much they read during the week.


Barbara read the first 100 pages from a 320-page in the last 4 days

Judy read the first 54 pages from a 260-page book in the last 3 days.

Nancy read the first 160 pages from a 480-page book in the last 5 days

Part A

A person’s average reading rate can be defined as the number of pages read divided by the number of days. Place the three friends’ reading rates in order from greatest to least(Show all work)

Answers

Answer:

Solution given:Barbara reads

100page in 4 days

1 day=100/4=25pages

judy reads

54pages =3days

1 day=54/3=18 pages

nancy reads

160 pages =5 days

1 day=160/5=32 pages

average page=[25+18+32]/3=25 pages per day is a required rate.

On Monday, Amanda runs 1 1/6 miles. On Tuesday, she runs 2 1/2 miles. How far did she run on both days combined?

Answers

Answer:

3 2/3 miles

Step-by-step explanation:

1 1/6 + 2 1/2 = 1 1/6 + 2 3/6 = 3 4/6 = 3 2/3

Answer: 3 2/3 miles

What is the value of the median in the set of data represented by the following box-and-whisker plot?

A. 10
B.15
C.14
D.15.5​

Answers

Answer:

D)  15.5

Step-by-step explanation:

median is the middle line inside the 'box'

Answer:

D.15.5D.15.5 is the value of the median in the set of data represented by the following box-and-whisker plot.

Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23

Answers

The answer is 38 since range=high - low = 58-20

Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°

Answers

Answer:

[tex]B = 105[/tex]

Step-by-step explanation:

Given

[tex]A = 75[/tex]

Required

Find B

If A and B are consecutive interior angles, then

[tex]A + B = 180[/tex]

Substutute 75 for A

[tex]75 + B = 180[/tex]

[tex]-75+75 + B = 180 - 75[/tex]

[tex]B = 105[/tex]

The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)

Answers

Answer:

(-14, -54)

Step-by-step explanation:

Let's call the functions f and g

f(x) = ax + b

f(0) = a*0+b = 2

f(3) = a*3 + b = 14

From f(0) = 2 we know that b = 2

f(3) - f(0) = a*3 = 14 - 2

a = 4

We know that f(x) = 4x + 2

g(x) = cx + d

g(0) = -12

g(3) = -3

From g(0) = -12 we know that d = -12

g(3) - g(0) = c*3 = -3 - (-12) = 9

c = 3

We know that g(x) = 3x - 12

Now we need to solve

4x + 2 = 3x - 12

x + 2 = -12

x = -14

y = 4*(-14) + 2 = -56 + 2 = -54

y = 3*(-14) - 12 = -42 - 12 = -54

Checks out.

The solution to the system of linear functions that is represented by both tables is: (-14, -54).

What is the Solution of a System of Linear Functions?

The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.

To find the solution, state the equation that represents each of the functions in the given tables:

y = 4x + 2 represents table 1

y = 3x - 12 represents table 2.

Thus, set both equations equal to each other.

4x + 2 = 3x - 12

Combine like terms

4x - 3x = -2 - 12

x = -14

Find the value of y by substituting x = -14 into y = 3x - 12:

y = 3(-14) - 12

y = -54.

Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).

Learn more about system of linear functions on:

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Determine whether the two expressions are equivalent
2(3c + 2) - 2c and 4c + 2

Answers

Answer:

The equations are not equivalent

Step-by-step explanation:

2(3c +2) -2c

6c + 4 - 2c

combine like terms

4c +4 does not equal 4c +2

Answer:

they are NOT equivelent

Step-by-step explanation:

2(3c+2)-2c and 4c + 2

(6c+4)-2c

4c+4>4c+2

please help i’ll give brainliest

Answers

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].

The answer is radical 5/2

I need help asap....​

Answers

Answer:

Step-by-step explanation:

From the given picture,

Given : l₁ and l₂ are the parallel lines and ∠2 ≅ ∠4

To prove: ∠1 ≅ ∠4 and ∠4 ≅ ∠3

          Statements                          Reasons

1). l₁ ║ l₂ and ∠2 ≅ ∠4                  1). Given

2). ∠1 ≅ ∠2                                   2). Vertical angle theorem

3). ∠1 ≅ ∠4                                   3). Given

4). ∠1 ≅ ∠3                                   4). Corresponding angle theorem

5). ∠4 ≅ ∠3                                  5). Transitive property of congruence  

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?

Answers

Answer:

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Step-by-step explanation:

Given the data in the question;

x' = 46500

σ = 8000

sample size n = 28

Null hypothesis              H₀ : μ ≥ 50000

Alternative hypothesis  H₁ : μ < 50000

level of significance ∝ = 0.05

Using Test statistics;

Z = [(x' - μ ) / (σ√n)] ~ (0,1)

we substitute

Z = [(46500 - 50000 ) / (8000√28)]  

= -3500 / 1511.85789

= - 2.31

{ since alternative  hypothesis is left tailed } from z-table;

p-value = P( z ≤ -2.32 )

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Find the area of the region (CALCULUS HELP I WILL VOTE BEST ANSWER)

Answers

I'm not sure what is meant by "partitioning the x-axis" - partition is a term more often used with computing Riemann sums. So either partitioning has a special meaning for you, or you have to approximate the area with a Riemann sum.

I'm going to assume you just want the exact area of the given region. Notice that the two curves y = 4e ˣ and y = -x + 4 intersect when x = 0 at the point (0, 4). Both curves then meet the vertical line x = 4. The exponential function is increasing while the linear one is decreasing, so 4e ˣ ≥ -x + 4.

The region is then the set of points,

R = {(x, y) | 0 ≤ x ≤ 4 and -x + 4 ≤ y ≤ 4e ˣ}

so the area is given by the integral,

[tex]\displaystyle\int_0^4 (4e^x-(-x+4))\,\mathrm dx=\int_0^4(4e^x+x-4)\,\mathrm dx=\left(4e^x+\frac{x^2}2-4x\right)\bigg|_0^4=\boxed{4e^4-12}[/tex]

100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION

What type of table or graph do you use to help you make a histogram?

A.
a dot plot

B.
a frequency table

C.
a circle graph

D.
a bar graph

Answers

Answer:

B

Step-by-step explanation:

Answer:

D. a bar graph

Step-by-step explanation:

a bat graph because it keeps track of data that changes over time

Claire went home after school and told her mother that 1 whole is the same as 2/2 and 6/6. Her mother asked why, but Claire couldn't explain. Use a number line and words to help Claire show and explain why. 1 = 2/2 = 6/6.

Answers

2/2 means 1/2 and 1/2
The distance between 0 and 1 and then 1/2 again we will end up at 1. Think of cutting the distance from 0 to 1 into two equal pieces and Together those pieces equal 1 whole. we do the same and cut the distance into 6 and then take six such pieces we again get the whole distance from 0 to 1 or one whole.

If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?​

Answers

Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]

Thus, the unknown number is - 1

Learn more here: https://brainly.com/question/24369824

(3/4)(-4/3) = 0
True or False

Answers

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

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