What is the domain of the function ?

What Is The Domain Of The Function?

Answers

Answer 1
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Related Questions

It takes 4 people 2 days to build a wall.
How long would it take for 2 people to build the same wall.
Give your answer in days.

Answers

Answer:

I believe it would be 8 days.

Step-by-step explanation:

2-(x+1)/(x-2)-(x-4)/(x+2)can be written as a single fraction in the form (ax+b)/(x^(2)-4) where a and b are intergers

Answers

Answer:

a = 3, b = -18

Step-by-step explanation:

You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:

[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]

[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]

Now we can rewrite the equation:

[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]

and combine the terms with the same denominator:

[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]

[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]

Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].

[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]

And simplify:

[tex]\frac{3x-18}{x^2-4}[/tex]

a = 3, b = -18

The value of the integers a and b are 3 and - 18 respectively.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .

The first one can be written as :

= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]

= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]

and the second one can be written as :

= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]

= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

The expression will be :

= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]

= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]

= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]

By simplifying it , we get :

= [tex]\frac{3x-18}{x^{2} - 4}[/tex]

If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :

[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]

or

3x - 18 = ax + b

or

The values of a and b are :

a = 3 and b = -18.

Therefore , the value of the integers a and b are 3 and - 18 respectively.

Learn more about algebraic expressions here :

https://brainly.com/question/1382660

#SPJ2

need help ace plsss plssssssssssss

A -22
b 4.67
c 8.5. d 31 e 53​

Answers

Answer:

A. -22

hope this helps

have a good day :)

Step-by-step explanation:

What is the Surface Area Formula for a Square Pyramid? I need the formula

Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Plz help ASAPPPPP :(

No Links Or Files

Answers

Answer:

the anwser is H

Step-by-step explanation:

frist x^2=16 it means the radical of 16 is x

the radical of 16 is《 4》

♧x^3 it means 4^3=64

the radical of 4 is 2

then 64+2=66

Giving brainlist to whoever answers

Answers

Answer:

62.4

Step-by-step explanation:

Brainliest

Answer

62.4

Step-by-step explanation:

Choose the best equation to solve for x

Answers

Answer:

sin x = 80/100

Step-by-step explanation:

sin = opp/hyp

sin x = 80/100

If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?

Answers

Answer:

฿₹Ø: 1391 US$

Step-by-step explanation:

Solve 5x Divide 6 = 20.
The solution is x =____?

Answers

Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]

ace please help

what data from the table provides evidence of no association between living city a and being left handed ​

Answers

Answer: A

Hope this helps

can anyone please help me I'm timed​

Answers

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

-6 ( x – 8) = 60
Show steps

Answers

Answer:

-6(x-8)=60x-8= -10x= -10+8x= -2

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

• x = -2

Divide the following complex numbers 30+20i/1+5i

Answers

30+20i/1+5i is equal to 30+25i. The answer is 30+25i

Help meeee and I didn't mean to press that answer

Answers

Answer:

B, rhombus and rectangle

Step-by-step explanation:

Why?

Because you can see none of their opposite lines intersect and they run on.

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

The answer is [tex]2\frac{1}{12}[/tex]

Step-by-step explanation:

Answer:

25/12

Step-by-step explaining.

mark brainiest

Only answer if you're sure you have the correct answer for this problem, please solve correctly.

Answers

Answer:

first option: m= 532 - 57h

Step-by-step explanation:

comment if u need explanation :)

- 1/2 x 2 is equal to *
А. 1
В. 1/4
с. -1/4
D. -1

Answers

i believe it would be d. -1

explanation:

you just cancel the common factor which is 2

then rewrite the expression

Add 6/7 + 80/9. Enter your answer below as an improper fraction in lowest terms, using the slash (/) as the fraction bar.​

Answers

Answer:

the answer is 614/63

Step-by-step explanation:

6/7 + 80/9

614/63

2. What is another word to describe
absolute value?

Osum
O distance

Answers

Answer:

distance

Step-by-step explanation:

lets say -7 what is -7 distance from 0

so the absolute value of -7 is 7

Answer:

Step-by-step explanation:

Absolute value represents the distance between 2 points on a number line or coordinate plane.

Find the length of side x in simplest radical form with a rational denominator.
45
X
45°
V2

Answers

Answer:

Step-by-step explanation: 3√2

Help me with this please!!!!!!!!!!!!!

Answers

Answer:

1mm

cos(60)= 1/2

1/2 x 2 = 1

1 mm

Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges.

Which system of equations represents this situation?

A
$~3x+4y=4.75~$
$~5x+2y=4.25~$
B
3x+4y=4.25

5x+2y=4.75

C
4x+3y=4.75

2x+5y=4.25
D
4x+3y=4.25

2x+5y=4.75

Answers

B
Explanation-Because it is :)

Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Alyssa paid 50 dollars to rent a bike. How many hours did she pay to have the bike checked out ?

Answers

Answer:

4 hours

Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

x = number of hours for renting the bike

Alyssa paid 50 dollars to rent a bike.

How many hours did she pay to have the bike checked out ?

C = 18 + 8x

50 = 18 + 8x

Subtract 18 from both sides

50 - 18 = 18 + 8x - 18

32 = 8x

Divide both sides by 8

32 / 8 = 8x / 8

4 = x

x = 4 hours

One ticket will be drawn from a total of 200. If Maureen has 4 tickets what is the probability she will win?

Answers

Answer:

50

Step-by-step explanation:

she would have a 50 percent chanse of wining cause its like division so 4 divided by 20 is 50 unless i am wrong whoever can write the right answer.

find the volume of the shape.

Answers

Answer:

70148.06

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10x90=900

so the answer is 900

Find the center and radius of this
circle.

Answers

Center (2,-3)
Radius 6

Name the integer that is 2 more than the opposite of -4.

Answers

Answer:

6

Step-by-step explanation:

the opposite of -4 is 4 and then add 2

Answer:

Yeah 6

Step-by-step explanation:

Exact same steps as the person above :)

Good luck!!

Tabitha's grandmother lives 5 miles from Tabitha's house. How many kilometers does
Tabitha's grandmother live from Tabitha's house? Use a ratio to find the solution. (Use 1 mile =
1.61 kilometers)
PLEASE NO LINK

Answers

Ok, just do 1.61 times 5

had four times as many videos as . After Jack gave 60 to his cousin and Jill lost 6, they both had the same number of videos. How many videos did they each have originally?​

Answers

Answer:

THis does that give me enough information to answer.

Step-by-step explanation:

Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.

Answers

C I just did the same answer

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

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