How do you determine the domain of a function ?

Answers

Answer 1

Answer:

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that

chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function

must be a real number, the following conditions are commonly checked:

1. Denominators cannot equal 0.

2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)  

cannot have a negative value.

3. Logarithms can only be taken of positive values.

4. In word problems physical or other real-life restrictions might be imposed, e.g. time is  

nonnegative, number of items is a nonnegative integer, etc.

Answer 2

Answer:

the domain is a set of all possible numbers inputs for that function, THe range is all the possible output numbers

i hope this helps


Related Questions

Solve for a
T
U
4x 10
12x + 151
S

Answers

Answer:

x = 10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

12x + 15 is an exterior angle of the triangle , then

12x + 15 = 4x + 10 + 85 , that is

12x + 15 = 4x + 95 ( subtract 4x from both sides )

8x + 15 = 95 ( subtract 15 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Your sister’s store is given a $200 loan to start off and makes $40 every week afterward. Find the minimum number of weeks it will take your sister to have a total profit of $100 after she has repaid the $200. Round your answer to the nearest whole week.

Answers

It will take 8 weeks for her to make 100$

WILL MARK BRAINLIEST!
Simplify -5a + a

Answers

Answer:

-5a+a

= -4a

Step-by-step explanation:

mark me brainlist

What is 4^3 written in expanded form? ​

Answers

Answer:

64

Step-by-step explanation:

4^3, means 4*4*4, and it is very simple to calculate when you break it down to 4*4= 16 and then 16*4=64. So your final answer is 64.

Write 360 as a product of primes.
Use index notation when giving your answer

Answers

Answer:

First, find any number that divides evenly into 360. Perhaps the number that comes to mind, since it ends in a 0, is 10. Since 10 divides into 360 and the result is 36, you can write 360 = 10*36.

Step-by-step explanation:

Sana makatulong

What is the missing value??

Answers

the missing value is 17.

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

RQ is a perpendicular bisector to PS at Q between P and S.

Answers

Answer:

r

Step-by-step explanation:

After running
7/8 mile in a horse race, a horse ran an additional 3/8 mile to cool down. How far did the horse run altogether?

Answers

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

A cricket bat is bought for $400. Later, it is sold with a loss of 15%. How much is the cricket bat sold for? After selling the cricket bat, how much money has been lost? Give your answer to two decimal places because it is a currency.

Answers

Answer:

$60.00

Step-by-step explanation:

400X15%=60

60.00 TWO DECIMAL PLACES FOR CURRENCY OF $60.00

help brainliest will be given

Answers

The triangle ABC is going to be moved 2 units down and 3 units to the right so all the points A, Band C will have different coordinates.

The answer for all 3 is will not be the same

I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.

Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.

Answers

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

-4 = u - 7 solve for u

Answers

Answer:

u = 3

Step-by-step explanation:

-4 = 3 - 7

u = 3 Hope this helps!

how would you solve this, need help

Answers

ok umm i fell asleep bye

Answer:1,829

Step-by-step explanation:

Find the missing angle

Answers

58 degrees……….:..:………..

Answer:

58 degree

Step-by-step explanation:

the total degree of the three interior angles together of a triangle = 180

here 2 sides are given so to find the 3rd angle we can just add the other 2 angles and subtract it from 180

so it'll be

[tex]65 + 57 = 122[/tex]

[tex]180 - 122 = 58 \: degrees[/tex]

answer = 58 degree

Help meh, i need help

Answers

1. -6x7 but the 7 is the tiny number

Answer: #1: 4[tex]\\\sqrt{2}[/tex]

#2: -6x^7

Step-by-step explanation:

#1 simplify the radical expression

10[tex]\sqrt{2}[/tex] - [tex]\sqrt{72}[/tex]

10[tex]\sqrt{2}[/tex] - 6[tex]\sqrt{2\\}[/tex]

collect like terms

Solution: 4[tex]\sqrt{2}[/tex]

#2 combine like terms

-3*2 = -6 then add the 5 and 2

I’ll give brainliest PLEASE HELP!!

A family pays to park their car and buy tickets at a baseball stadium. The
table shows the linear relationship between the number of tickets and the total cost, including parking.

A. 11.50
B. 13.50
C. 17.00
D. 8.50

Answers

Answer:

D. 8.50

Step-by-step explanation:

A. 11.50

B. 13.50

C. 17.00

D. 8.50

The cost of each ticket will be $8.5. Then the correct option is D.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A family pays to enter a baseball stadium, park their car, and purchase tickets. The table displays the linear correlation between the number of tickets issued and the overall expense, which includes parking.

The slope is given as,

m = (57.50 - 40.50) / (5 - 3)

m = 17 / 2

m = 8.5

Let 'y' represent the total cost, 'x' represents the cost of the ticket, and 'c' represents the cost of parking. Then the equation is given as,

y = 8.5x + c

The cost of each ticket will be $8.5. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5



11b.) How many students have

between 10 and 25 video games?

5

20

25

10

15

Number of video games

11c.) How many students have

fewer than 5?

Answers

Is there a graph or a chart for this question?

Mason is running a lemonade stand. He sells each cup of lemonade for $2.50,and he spent $15 on the
supplies to set up his stand, Write an equation to represent the amount of money mason has after he has sold x cups of lemonade.

Answers

$2.50x - $15

Step-by-step explanation:

He is making $2.50x (x = amount of drinks sold)

Than we subtract the amount of money he lost - $15

$2.50x - $15

Hope this helps.

Plz help I been stuck on this homework all night

Answers

Answer:

y = -1/5x - 10

Step-by-step explanation:

Pick any two points on the line.

(0,-10) and (50,-20)

find the slope by using m = y2-y1/x2 - x1(rise over run)

m = -20-(-10) / 50 - 0

m = -10/50 = -1/5 -- this is your slope

slope intercept form is y = mx + b, but we need to find your b, which is your y intercept. you find this by asking yourself, what is the y coordinate when x = 0? It is -10.

so now you have all the points you need.

y = mx + b

y = -1/5x - 10

Can somebody help me

Answers

Answer:

Step-by-step explanation:whtyui

fgj

helllooooooo

PLEASE HELP DUE TONIGHT WITH STEPS

Answers

Answer:

x>=-8 and a colored in point on negative eight with an arrow to the right

Step-by-step explanation:

-7x<=56 is the given

to solve, we would divide both sides by -7. However, when dividing an inequality, the direction of the inequality sign flips (if you've heard the alligator example, the mouth opens in the opposite direction it was before)

so we know have x>=-8

On the number line, the colored in dot represents that the value it is on is within the set, and since this can also be equal to -8 we have to use a colored in dot because its within the possible values. If it was not <= or >= then we would use an open circle to represent it cannot be that value but can be anything in the direction the arrow is pointing.

The arrow would point to the right because x can be larger or greater than -8 as well

Cómo se resuelve esto?


(2-x)²=36

Answers

Aquí esta la respuesta

Answer:

Step-by-step explanation:

You have to factor but we start by simplifying both sides which will be x^2-4x+4=36. Then you subtract 36 from both sides

x^2-4x+4-36=36-36

x2-4x-32

Now that the equation is set up, you can factor

(x+4)(x-8)Set the factors equal to 0

x=-4 or

x=8

given f(x)=-x-1 find (6)

Answers

Answer:

[tex]{ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}[/tex]

Answer:

f(6) = -7

Step-by-step explanation:

It is given that x = 6. Plug in 6 for x in the given equation:

f(x) = -x - 1

f(6) = -(6) - 1

Note that when you are subtracting two negative numbers, you are really adding the two numbers:

f(6) = -(6) - 1

f(6) = -7

When x = 6, f(x) = -7

~

A lobster weight 42 1/5kg A crab weight 41/5kg less than lobster what is their combined weight​

Answers

Crab Weight

= 42 1/5 - 41/5

= 211/5 - 41/5

= 170/5

Combined weight

= 170/5 + 211/5

= 381/5

= 76 1/5

#LearnWithEXO

If you divide 78 by 34, will the quotient be greater than or less than 34

?

Use the drop‐down menu to select your answer.


The quotient will be
Less Or greater
than the divisor, 34.

Answers

Answer:

The quotient will be less than the divisor, 34.

Step-by-step explanation:

The only way the quotient could be equal to or greater than the divisor if it the number is greater than the divisor squared.

1 1/2 ÷3/4



1 one half divided by 3/4

Answers

Answer:

2

Step-by-step explanation:

1.5 divided by .75

Answer:

2/3 or 0.66666666666

Step-by-step explanation:

Below are two parallel lines with a third line intersecting them 107

Answers

Answer:

x° = 107°

Step-by-step explanation:

Given that m < 107° and m < x° are alternate interior angles that do not have a common vertex on alternate sides of the transversal, then it means that they have the same measure. It also implies that their supplements will have the same measure, 73°.

Therefore, x° = 107°.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

107

Step-by-step explanation:

they r on opposite sides so they are the same.

A construction worker has a rope that is 6 ft long. he needs to cut it into pieces that are 2/3 ft long. how many such pieces can he cut without having any rope leftover?

multiply and simplify.​

Answers

Answer: 9 pieces of rope.

Need help asp pls pls pls

Answers

Answer:

D.

Step-by-step explanation:

u should times each num in brakect 5 times

exp:

-2×-2×-2×-2×-2=-32

Ten people can dig 2 acres of land in 7 days. How long will 8 people working at half the rate of the first group take to dig 6 acres of piece of land?​

Answers

Answer:

52.5 days

Step-by-step explanation:

Ten people can dig 2 acres in 7 days.

One person can dig 0.2 acres in 7 days.

Working at half the rate, one person can dig 0.1 acre in 7 days.

8 people can dig 0.8 acres in 7 days.

8 people can dig 6/0.8 * 0.8 acres in 6/0.8 * 7 days.

8 people can dig 6 acres in 52.5 days

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