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

The sum of 1/4 and three times a number is equal to 2/3 subtracted from four times the number. Find the number.

Answers

Answer:

5

Step-by-step explanation:

Solve −163 = −25d .

Multiple choice question.

A)
−403


B)
−3215


C)
3215


D)
403

Answers

Answer:

the answer to this question is d

12 = 2x + 4x



solve and show your work. pls help.

i didn't pay attention to the class

Answers

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

12=2x+4x

12=(2x+4x)(Combine Like Terms)

12=6x

12=6x

Step 2: Flip the equation.

6x=12

Step 3: Divide both sides by 6. 6x/6=12/6

x=2

Hope you found this helpful and have good day (.

Answer:

2

Step-by-step explanation:

plus the like-terms (x plus x): 2+4

so 12=6x. get 6 out of the x-term. X is the unknown number being multiplied by 6. To get it to the other side, divide the numbers. So: 12/6=x and 12/6 is 2. so x=2.

Someone help plz make sure the answers right will mark brainiest:)

Answers

I think it’s the third one
Y=2/5x+1

MRs budney made 12 cupcakes. Ms dykastra made 9 cupcakes. How many cupcakes did the teachers make altogether?

Answers

Answer:

21

Step-by-step explanation:

9 + 12 = 21

Answer:

21

Step-by-step explanation:

You add 12 cupcakes plus 9 cupcakes it then will equal 21 cupcakes.

Error Analysis Describe and correct the error made in solving the literal
equation at the right for n.
*need help asap!*

Answers

Answer: 2m+1/2

Step-by-step explanation: 2m=-6n+3

2m-3=-6n

(2m-3)/-6

n= 2m+1/2

I need help plz I would appreciate it

Answers

It’s 48 I think substitute x in and see if it’s right

Find the value of the x.

Answers

Step-by-step explanation:

By angle sum property

7x-41+5x-12+2x+9 = 180

14x -44 =180

14x =224

x= 224/14

x= 16°

Answer:

thanks for this question as I also wanted it

Step-by-step explanation:

may I know in which grade are you

Please help asap! Correct answer gets brainliest

Answers

Answer:

C, 35 yellow books

Step-by-step explanation:

There are 10 books in total

if 3 of them is equal to 21, then one book in the picture is worth 7 books

5 yellow books can be seen thus 7x5=35

Answer:

C. 35 yellow books

Step-by-step explanation:

Let u be 1 unit.

3u = 21

u = 21÷3

=7

5u = 7×5

= 35

pls answer rn or else...

Answers

(5x10^3)x(9x10^7)=
(50^3)x(90^7)=
12500x47829690000000=
5978711250000000000

Find the distance between the points (–4, 6) and (–1, 5).

Answers

Answer:

√10 . May be this can help.

Emiliano earned $50 in July. He earned $70 in August. What is the percent increase or decrease in Emiliano's monthly earnings? A. 40% increase O B. 29% increase C. 40% decrease D. 20% decrease​

Answers

Answer:

the answer is 40% increase

A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?

Answers

Answer:

0.3 pounds

Step-by-step explanation:

[tex]0.5 - 0.2 = 0.3[/tex]

anyone please help me​

Answers

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

Use midterm splitation

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

The equation has two solutions:x=5, x=-1

Graph is in the attachment!!

What is the measure of the indicated central angle ? A. None of the above B. 20° C. 15° D. 10° E. 25°

Answers

Answer:

b

Step-by-step explanation:

Evaluate -2 + 7 + (-4)

Answers

1 simplify the expression

Answer:

1.

Step-by-step explanation:

+ (-4) = - 4 so we have

-2 + 7 - 4

= 5 - 4

= 1.

Factorize mn-nq+mo-oq

Answers

mn-nq+mo-oq

n(m-q) + o(m-q)

final ans:(n+o) (m-q)

please help! absolute value problem

Answers

Answer:

first blank: -x

second blank x

Step-by-step explanation:

Question 5 (4 points)
(04.05)

Which description best describes the graph? (4 points)

A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing

b
Linear decreasing

c
Nonlinear increasing

d
Nonlinear decreasing

Answers

I think it’s D bc yes and yes and yes

Answer:

The answer is D

Step-by-step explanation:

what is the probability of selecting four red cards from a standard deck if each card is replaced before the next one is selected

Answers

Answer:

1/16

Step-by-step explanation:

1/2 * 1/2 * 1/2 * 1/2

=1/16

A triangle has angle measures
x+15, 3x-35, and 4x.
What type of triangle is it? Be as specific as possible. Justify your answer.

Answers

All angles in the triangle add up to 180 degrees. So,
(x+15) + (3x-35) + 4x = 180
8x - 20 = 180
8x = 200
x = 25

First angle : x+15 = 25+15 = 40 degrees
Second angle: 3x-35 = 3 * 25 - 35 = 40 degrees
Third angle: 4x = 4 * 25 = 100 degrees.

It is an isosceles triangle since it has two angles (the first end the second one) equal to each other.

Hope that helps :)

What is the slope of the line through (3, 2) and (-3, 4)?
5
(-3, 4)
4
(3, 2)
2
1
x
-3
-2
-1
1
2
3
4.


A. 3
B. - 1/3
C. 1/3
D. -3

Answers

Answer:

- 1/3

Step-by-step explanation:

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

4 lbs 7 oz; oz
conversions ratios thing

Answers

Answer:

4 lb 7 oz = 71 oz

Step-by-step explanation:

Do you need to convert 4 lb 7 oz into oz?

If so, do the following.

Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.

1 lb = 16 oz

For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.

4 lb = 4 * 16 oz = 64 oz

4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz

Find the approximate circumference of a circle with a diameter of 10 cm.

Answers

About 31.42 cm because you multiply it by pi

Answer: C = 31.42cm

Step-by-step explanation:

The blue figure is a translation image of the black figure. Write a rule to describe the translation.

Answers

Rule is 7 can only be divisible by 1 and no other number

if mary has 36,392 ants and mary gives her 37,993 times that amount plus 3833 fewer ants how many ants does mary have? PLZ HELPP

Answers

Answer:

i dont know

Step-by-step explanation:

sorry

How many different 9-letter "words" can you
make by arranging the letters in DEVIATION?
The arrangements don't have to be actual words
that are included in any dictionary.

Answers

There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.

To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.

The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.

Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.

Now, we need to find out the value of n.

The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.

Therefore, n = 9 - 2 = 7.

We will substitute these values in the formula to get the required answer:

nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040

Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

For more questions on permutations

https://brainly.com/question/28065038

#SPJ8

Ataxi service charges you $7.50 plus $0.60 per minute, m. for a trip to
the airport. The total charge is $13.50. Write an algebraic equation you
can use to determine the number of minutes it took to get to the airpor
take? (you do not need to solve)

Answers

Answer:

6

Step-by-step explanation:

13-7 =6

$6.00÷0.60¢ = 10

(I may be hella off, but it's worth a shot)

Write the sentence as an equation.
The sum of 24 and x is - 20.

Answers

Answer:

x+24 = -20

this is the equation form

Answer:

24 + x = -20

Step-by-step explanation:

"The sum" is simple addition, so stating that the "sum of 24 and x" is the same as :

24 + x

Seeing as they equal -20:

24 + x = -20

Hope this helps!

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