What is the domain of the function ?

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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

can anyone please help me I'm timed

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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

- 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

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

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

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]

3x - 18 = ax + b

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

Answer:

I believe it would be 8 days.

Step-by-step explanation:

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

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

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Answer:

฿₹Ø: 1391 US$

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

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

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Answer:

Step-by-step explanation: 3√2

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?

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Answer:

THis does that give me enough information to answer.

Step-by-step explanation:

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.

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 .

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

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

Answers

Answer:

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!!

-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

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:

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

Find the center and radius of this
circle.

Answers

Center (2,-3)
Radius 6

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

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

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Answer:

1mm

cos(60)= 1/2

1/2 x 2 = 1

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 :)

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What is the domain of the function ?​

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What is the domain of the function ?