1. What is the domain and range for the following function and its inverse? f(x) = x² +3​

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2 + 3

The domain is All Real x and the range is f(x) ≥ 3.

Find its inverse:

y = x^2 + 3

x^2 = y - 3

x = √(y - 3)

So f-1(x) = √(x - 3)

The domain is x  ≥ 3  and range is f(x) ≥ 0.


Related Questions

Kristen is doing her math homework for each problem she uses 1/3 of a sheet of paper how many sheets of paper will she need for nine problems

Answers

Answer:

Step-by-step explanation:

because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)




The circumference of a circle is37.68 kilometers. What is the circle's radius?

Answers

given:

circumference= 37.68 km

to find:

the circle's radius.

solution:

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{37.68}{2\pi} [/tex]

[tex]r = 5.99696 \: km[/tex]

[tex]r =6 \: km[/tex]

What is the measure of the angle?​

Answers

Answer: 50 degrees

Step-by-step explanation:

what is the median for ​55, 75,​ 45, 80,​ 50, 70,​ 45, 85,​ 60, 70

Answers

the answer is for this question is 50 since it’s in the middle

Answer:

it’s 60

Step-by-step explanation:

what you do is take the two middle numbers 50 and 70 add them both up get 120 then divide by 2 and get 60

Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.

Answers

Answer:

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them

4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12

So in short: 3x + 12 +x is equivalent to 4(3+x)

Witch is a following radical to …

Answers

Answer:

B

Step-by-step explanation:

Which of the following are solutions to the equation below?

Check all that apply.

4x^2 + 20x + 25 = 49

A. x = -1

B. x = 1

C. x = 6

D. x = -6

E. x = √7-5/2

F. x = -√7-5/2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve the given equation ~

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]

Hence, we get -6 and 1 as our roots ~

So, the correct choices are : B and D

Find the midpoint M of the line segment joining the points C = (-1, 1) and D = (5, – 7).
=
=

Answers

Answer: (2,-3)

Step-by-step explanation:

a cube shaped shed has a 6 foot high walls if all the shed's walls are painted not including the floor or ceiling how much area will be painted

Answers

answer:288
since it’s a cube , all side lengths will be equal- in this case , 6 feet.
to get the area of one wall , you do height x width- in this case 6x6.
that equals 36 , which is the area for 1 wall.
since they’re painting all 8 walls , you multiply 36x8
that gets you the answer 288 (feet squared)

im not sure how to solve this can somebody help

Answers

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

How to get the exponential equation?

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081

If somebody sells TVs and the formula they use is A = 800 + 200t and A = her total income and t = the amount they sell, how much money will they receive if they sell 9 TVs?

Answers

Answer:

$2600

Step-by-step explanation:

It is given that the variables:

A = total income

t = amount of TV they sell.

It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:

A = 800 + 200t

A = 800 + 200(9)

A = 800 + 1800

A = 2600

$2600 is the total amount they will receive if they sell 9 TVs.

~

Please help me understand the question

Answers

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]

Explanation:

This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.

I am joyous to assist you at any time.

Help with this math question please

Answers

Answer:ur doomed dude I don’t know

Step-by-step explanation:

Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.

Answers

Answer: lower death rates

Step-by-step explanation:

If the rate of markup on selling price is 40%, what is the rate of markup on cost.

Answers

If your customer sees a ticket price of $18.33 on the item and knows you paid $11.00 and marked it up $7.33, then he calculates $7.33 as 40% of $18.33. Thus your cost of $11.00 is 60% of $18.33.

Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0​

Answers

So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]

Let's first move all the constant to one side and group 'like variables' together:

      [tex](x^2-10x)+(y^2+8y) = 8[/tex]

Now lets complete the square of both equations

    [tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]

Now we know the circle's general equation format is:

   ⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]

(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circle

Thus the radius of the circle is 7

Hope that helps!

The tent shown is a triangular prism. What is the amount of space inside the tent?


A.What is the length of the tent, to the nearest foot, from the front to the back?

B. What formula will find the space inside the tent ? what is the space inside the tent?

Answers

The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.

What is the volume of a right triangular prism?

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The volume of a right triangular prism = ( height × Base Area)

A. The length of the tent to the nearest foot, from the front to the back

= 15 + 6 + 15+ 6

= 42 ft

B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:

The volume of a right triangular prism = ( height × Base Area)

                           

height = √(36 - 9)

          = √27

The volume of a right triangular prism = √27 × 157.2

                                                                = 816.83

Learn more about triangular prism;

https://brainly.com/question/15843335

#SPJ1

Question 10 of 10
Which of the following graphs is described by the function given below?
Y = x - 6x -7
• A. Graph A
• B. Graph B
• C. Graph C
• D. Graph D

PLEASE!!!!!!!

Answers

Answer:

Graph A

Step-by-step explanation:

The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.

please read the picture and help

Answers

Answer:

A.) (-4,-2)

Step-by-step explanation:

Because the lines intersect

Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)

Answers

Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.

What is a Point on a Graph of an Equation?

Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.

(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:

2 = 10 + 8

2 = 18 (not true).

The rest points will give us a true equation except (8, 2).

(8, 2) is not a point on the graph.

Learn more about point on a graph on:

https://brainly.com/question/19701097

A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decrease?

Answers

If you’re asking for just the number of pounds then the answer is
200-33= 167 pounds

If you’re asking for a percentage of decrease it will be

200 - 33 = 177
_______ ____ = 0.885 x 100 will equal to 88.5% decrease.
200 200

the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.

Answers

Answer is The measure of median angle is 0.700 radians.

56 units needed, 6 units per case

Answers

Answer:

10 cases 4 units over

Step-by-step explanation:

Help help math math math

Answers

Answer: The slope is 3

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Where

[tex](x_1,y_1)[/tex]= coordinates of the first point in the line

[tex](x_2,y_2)[/tex]= coordinates of the second point in the line

Let's use (2,-3) for the first point and (4, 3) for the second point.

Sub the values into our formula

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]

Now simplify

[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]

Answer:

The slope is 3

Step-by-step explanation:


A phone sells for $245. It is now on sale for off the original price.

April has a coupon for an extra 10% off the sale price. To the nearest
dollar, how much less than the original price will April pay for the
phone?

A. $25
B. $49
C. $68
D. $69

Answers

Answer:

$25

Step-by-step explanation:

[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]

$25

PLEASE RATE AND MARK BRIANLIEST

what is the inverse of F(C) = 9 5 C + 32 is

Answers

basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.

y=95x+32

x=95y+32

x-32=95y

(x/95)-(32/95)=y

What is the median value of the data set shown on the line plot?
Enter your answer in the box.

Answers

Answer:

please add the picture for us to see.

Step-by-step explanation:

what is the sum of 10000+101010

Answers

Answer:

10000+101010 = 111010

[tex] \orange{ \boxed{ \sf{111010}}}[/tex]

Answer:

10000+101010 = 111010

Step-by-step explanation:

10000+101010 = 111010

In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?

Answers

Answer:

In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.

Step-by-step explanation:

John owns a clothing store​

Answers

Answer:

I think John does not own a clothing store

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