How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is

Answers

Answer 1

Using inverse function concepts, it is found that:

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.

The function given is:

[tex]f(x) = (x + 1)^2 - 3[/tex]

It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x + 1)^2 - 3[/tex]

[tex]x = (y + 1)^2 - 3[/tex]

[tex](y + 1)^2 = x + 3[/tex]

[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]

[tex]y + 1 = \sqrt{x + 3}[/tex]

[tex]y = \sqrt{x + 3} - 1[/tex]

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A similar problem is given at https://brainly.com/question/13160937

Answer 2

Answer:

Step-by-step explanation:

How Does A Domain Restriction Placed On A Non-invertible Function Affect Its Inverse? Drag A Function

Related Questions

Solve for x if log(2x-7) = 0

Answers

Answer:

x=4

Step-by-step explanation:

log(2x-7) = 0

10^[log(2x-7)] = 10^0

2x-7 = 1

2x = 8

x = 4

A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?

Answers

You need 6 gallons of gas to travel 192 miles ..

The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.​

Answers

Answer:

230.0 x 1000-200

Step-by-step explanation:

Since one grain of pepper is 2.3x10-2 100 would be 100 times that.

1.3 ½ days=______hrs.
2.2400 mm=_______meter
3.1 hr and 20 min.=______seconds
4.100 kilograms=______grams
5.104 °C =_______°F


Answers

1) 84 hours
2) 2.4 meters
3) 4800 seconds
4) 100000grams
5)219.2 Fahrenheit degrees

132 divided by 0.11 i need help ;-;

Answers

Answer:

Step-by-step explanation:

1. 132+0.11

2. Answer is 1200

Entering it in Your Calculator

(132 Divided by 0.11)

= 1200

answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved. ​

Answers

Answer:

y=6+8

y=14

Step-by-step explanation:

y=14 is the answer to this question

Arthur paid $0.84 for 0.25 pound of potato salad. How much does one pound cost?

Answers

$3.36 answer
Step-by-step explanation:
1 pound is 4 times 0.25 pounds.
$0.84 = 0.25 pounds
1 pound = $0.84 times 4
1 pound = $3.36

Answer:

$3.36 per pound

Step-by-step explanation:

The information gives us that 1/4 a pound of salad costs $0.84, to get to one pound all we have to do is multiply $0.84 by 4 to get our pound price.

0.84*4= $3.36

Brainliest would be appreciated! :-)

Help please !!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

yes, they are congruent for the AAS rule ( angle angle side)

/ why we use this symbol

Answers

The slash is an oblique slanting line punctuation mark /. Once used to mark periods and commas, the slash is now most often used to represent exclusive or inclusive or, division and fractions, and as a date separator.

i need help please thanks ​

Answers

Answer: a. The prices throughout the year of the items in a store.

Step-by-step explanation:

An input value cannot have multiple output values.

Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?

A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour

Answers

Answer:

C 85 miles/hour

Step-by-step explanation:

680 / 8 = 85

A farmer wants to plant peas and carrots on no more than 400 acres of his farm. If x represents the number of acres of peas and y represents the number of acres of carrots for solution (x, y), then which is a viable solution?

Group of answer choices

(−125, 500)

(250, 150)

(400, −10)

(1, 400)

Answers

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

25 Points!! :D

Complete the interphase part of the data from your data table.

Answers

Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase

PLS HELP MEE
Are the figures similar? If they are what is the scale factor. If they are not please explain why.

Answers

They are similar , scale factor is 3

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr

B 66,000 kg km/hr

C 21.8 kg km/hr

D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible

Answers

It is D i believe because the formula for finding momentum is momentum= mass times velocity

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

it’s the last one with this < symbol pointing in that direction towards the 60 with the line under it, the symbol means greater than or equal to and in the context of the problems all riders must be 60 inches or taller, so h, their height, should be greater than or equal to 60
it’s the third one. the height of the person must be 60 inches or taller which means the 60 is included and any value past that is also included.

Construct a 60angle
NEEDED ASAP LIKE IN 5 MINUTES OR LESS

Answers

Answer:

but how there is nothing i dk plz can you explain me what the question actually is?

4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?

Answers

Answer:

3x times 24 widgets

Step-by-step explanation:

A total of 576 square tiles are needed to tile the floor of a square room
a) how many tiles fit along one wall of the room ?
b) how many square fit along the perimeter of the room ?​

Answers

a) 24 tiles for along one wall of the room
b) there are 92 tiles along the perimeter

PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12

Answers

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

Solve.

(Sorry About my handwriting)

Answers

Answer: the answer is gonna be a decimal which is Decimal: 145.333333 the 3 is repeated it keeps going forever

Find x in the triangle

Answers

15° hope that helps


Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

[tex]180 = (x-40) +(x-30)+y[/tex]

if we replace y with the equation we get

[tex]180=(x-40)+(x-30) + (-x+150)[/tex]

which can be simplified to

[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]

We can verify this by putting the value of x in both equation:

[tex]y = -100+150 = 50[/tex] angle at k

[tex]100-40=60[/tex] angle at j

[tex]100-30=70[/tex] angle at l

[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°

PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

want to check my answer​

Answers

Answer:

Yes. The answer is good 3x+1

Looks good! I think it good

what does 5/6 + (-4/9) (-2) equal

Answers

Answer:

HIya There!!!

________________________

To add fractions, find the LCD and then combine.

Exact Form:

31 /18

Decimal Form:

1.7 ¯ 2

Mixed Number Form:

1  13 /18

________________________

“Happiness resides not in possessions and not in gold, the feeling of happiness dwells in the soul.” – Democritus

________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?

Answers

Answer:

312.5

Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)

to check your answer we multiply 312.5 by 4 as its (25%=1/4)

A car used 1/48 of a gallon of gas to drive 1/4 of a mile . At this rate , how many miles can the car travel using 1 gallon of gas

Answers

Answer:

12 miles

Step-by-step explanation:

Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.

You can set up a ratio with 1/48 = 1/4 and 1 = x. You want to find a value that you can multiply the first equation by to get the second (called a scalar multiple). In our case, this is 48. So you multiple (1/48) * 48, and (1/4)* 48 to get an answer of (48/4), or 12 miles.

45
23

+(−
45
23

)

Answers

4523 + (-4523)

4523 - 4523

0

help please and NO LINKS

Answers

Answer:

B

Step-by-step explanation:

A trapezoid has only two parallel sides while a parallelogram has 2 pairs of parallel sides.

what are integer solutions to the equality below-2 < x < 2

Answers

Answer:

-1, 0, 1

Step-by-step explanation:

Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2

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